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1012300131100 = 2252411373179827
BaseRepresentation
bin11101011101100011100…
…10100010101100011100
310120202220221021211022011
432232301302202230130
5113041142313143400
62053013321001004
7133064512066366
oct16566162425434
93522827254264
101012300131100
113603500404a5
12144235323164
13745c8675a1b
1436dd1c6dd36
151b4eb51e8ba
hexebb1ca2b1c

1012300131100 has 72 divisors (see below), whose sum is σ = 2251920586608. Its totient is φ = 394754035200.

The previous prime is 1012300131077. The next prime is 1012300131103. The reversal of 1012300131100 is 11310032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012300131103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5539387 + ... + 5719213.

It is an arithmetic number, because the mean of its divisors is an integer number (31276674814).

Almost surely, 21012300131100 is an apocalyptic number.

1012300131100 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 1012300131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125960293304).

1012300131100 is an abundant number, since it is smaller than the sum of its proper divisors (1239620455508).

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

1012300131100 is a wasteful number, since it uses less digits than its factorization.

1012300131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181255 (or 181248 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1012300131100 its reverse (11310032101), we get a palindrome (1023610163201).

The spelling of 1012300131100 in words is "one trillion, twelve billion, three hundred million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1373 2050 2746 4100 5492 6865 13730 27460 34325 56293 68650 112586 137300 179827 225172 281465 359654 562930 719308 899135 1125860 1407325 1798270 2814650 3596540 4495675 5629300 7372907 8991350 14745814 17982700 29491628 36864535 73729070 147458140 184322675 246902471 368645350 493804942 737290700 987609884 1234512355 2469024710 4938049420 6172561775 10123001311 12345123550 20246002622 24690247100 40492005244 50615006555 101230013110 202460026220 253075032775 506150065550 1012300131100