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101032009013980 = 225112711694599279
BaseRepresentation
bin10110111110001101011001…
…000000100001101011011100
3111020201120021102100100020001
4112332031121000201223130
5101220302023301421410
6554513244133304044
730165215240053612
oct2676153100415334
9436646242310201
10101032009013980
112a21248620a030
12b3b881b495024
13444b37ba88a35
141ad3d924276b2
15ba311b20333a
hex5be359021adc

101032009013980 has 48 divisors (see below), whose sum is σ = 232309226096640. Its totient is φ = 36603344404800.

The previous prime is 101032009013933. The next prime is 101032009013981. The reversal of 101032009013980 is 89310900230101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032009013981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847240020 + ... + 847359259.

It is an arithmetic number, because the mean of its divisors is an integer number (4839775543680).

Almost surely, 2101032009013980 is an apocalyptic number.

101032009013980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101032009013980 is an abundant number, since it is smaller than the sum of its proper divisors (131277217082660).

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

101032009013980 is a wasteful number, since it uses less digits than its factorization.

101032009013980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694599570 (or 1694599568 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 101032009013980 in words is "one hundred one trillion, thirty-two billion, nine million, thirteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 1084 1355 2710 2981 5420 5962 11924 14905 29810 59620 1694599279 3389198558 6778397116 8472996395 16945992790 18640592069 33891985580 37281184138 74562368276 93202960345 186405920690 372811841380 459236404609 918472809218 1836945618436 2296182023045 4592364046090 5051600450699 9184728092180 10103200901398 20206401802796 25258002253495 50516004506990 101032009013980