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1013130300120 = 233553887179591
BaseRepresentation
bin11101011111000110100…
…01011000101011011000
310120212001210101210002220
432233203101120223120
5113044342324100440
62053231534224040
7133124212314261
oct16574321305330
93525053353086
101013130300120
113607367077a4
12144427355020
13746cb65c7b3
143707020d968
151b5493558d0
hexebe3458ad8

1013130300120 has 128 divisors (see below), whose sum is σ = 3100246410240. Its totient is φ = 264770255360.

The previous prime is 1013130300097. The next prime is 1013130300157. The reversal of 1013130300120 is 210030313101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1013130300120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5551525 + ... + 5731115.

It is an arithmetic number, because the mean of its divisors is an integer number (24220675080).

Almost surely, 21013130300120 is an apocalyptic number.

1013130300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013130300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550123205120).

1013130300120 is an abundant number, since it is smaller than the sum of its proper divisors (2087116110120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013130300120 is a wasteful number, since it uses less digits than its factorization.

1013130300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180545 (or 180541 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1013130300120 its reverse (210030313101), we get a palindrome (1223160613221).

The spelling of 1013130300120 in words is "one trillion, thirteen billion, one hundred thirty million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 887 1060 1272 1590 1774 2120 2661 3180 3548 4435 5322 6360 7096 8870 10644 13305 17740 21288 26610 35480 47011 53220 94022 106440 141033 179591 188044 235055 282066 359182 376088 470110 538773 564132 705165 718364 897955 940220 1077546 1128264 1410330 1436728 1795910 1880440 2155092 2693865 2820660 3591820 4310184 5387730 5641320 7183640 9518323 10775460 19036646 21550920 28554969 38073292 47591615 57109938 76146584 95183230 114219876 142774845 159297217 190366460 228439752 285549690 318594434 380732920 477891651 571099380 637188868 796486085 955783302 1142198760 1274377736 1592972170 1911566604 2389458255 3185944340 3823133208 4778916510 6371888680 8442752501 9557833020 16885505002 19115666040 25328257503 33771010004 42213762505 50656515006 67542020008 84427525010 101313030012 126641287515 168855050020 202626060024 253282575030 337710100040 506565150060 1013130300120