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2313034020 = 22325111378527
BaseRepresentation
bin1000100111011110…
…0001100100100100
312222012101022011200
42021313201210210
514214114042040
61021304202500
7111214315263
oct21167414444
95865338150
102313034020
11a87713770
12546769430
132ab2899ab
1417d2a25da
15d80e8630
hex89de1924

2313034020 has 144 divisors (see below), whose sum is σ = 7710812928. Its totient is φ = 556577280.

The previous prime is 2313034019. The next prime is 2313034033. The reversal of 2313034020 is 204303132.

2313034020 is a `hidden beast` number, since 231 + 30 + 3 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2313033984 and 2313034002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266997 + ... + 275523.

It is an arithmetic number, because the mean of its divisors is an integer number (53547312).

Almost surely, 22313034020 is an apocalyptic number.

2313034020 is a gapful number since it is divisible by the number (20) 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 2313034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855406464).

2313034020 is an abundant number, since it is smaller than the sum of its proper divisors (5397778908).

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

2313034020 is a wasteful number, since it uses less digits than its factorization.

2313034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690 (or 8685 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2313034020 is about 48094.0123092262. The cubic root of 2313034020 is about 1322.4949026811.

Adding to 2313034020 its reverse (204303132), we get a palindrome (2517337152).

The spelling of 2313034020 in words is "two billion, three hundred thirteen million, thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 137 165 180 198 220 274 330 396 411 495 548 660 685 822 990 1233 1370 1507 1644 1980 2055 2466 2740 3014 4110 4521 4932 6028 6165 7535 8220 8527 9042 12330 13563 15070 17054 18084 22605 24660 25581 27126 30140 34108 42635 45210 51162 54252 67815 76743 85270 90420 93797 102324 127905 135630 153486 170540 187594 255810 271260 281391 306972 375188 383715 468985 511620 562782 767430 844173 937970 1125564 1168199 1406955 1534860 1688346 1875940 2336398 2813910 3376692 3504597 4220865 4672796 5627820 5840995 7009194 8441730 10513791 11681990 12850189 14018388 16883460 17522985 21027582 23363980 25700378 35045970 38550567 42055164 51400756 52568955 64250945 70091940 77101134 105137910 115651701 128501890 154202268 192752835 210275820 231303402 257003780 385505670 462606804 578258505 771011340 1156517010 2313034020