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101030379637152 = 2537282295325829
BaseRepresentation
bin10110111110001011110111…
…111000111100100110100000
3111020201102001212101102102010
4112332023313320330212200
5101220240204141342102
6554512414330152520
730165126663432060
oct2676136770744640
9436642055342363
10101030379637152
112a21181a4a3109
12b3b8445882740
13444b17c338834
141ad3c79c873a0
15ba307314ed6c
hex5be2f7e3c9a0

101030379637152 has 96 divisors (see below), whose sum is σ = 303101932694400. Its totient is φ = 28864794774528.

The previous prime is 101030379637147. The next prime is 101030379637157. The reversal of 101030379637152 is 251736973030101.

It is an interprime number because it is at equal distance from previous prime (101030379637147) and next prime (101030379637157).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1010303796371522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (101030379637157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16306974 + ... + 21632802.

It is an arithmetic number, because the mean of its divisors is an integer number (3157311798900).

Almost surely, 2101030379637152 is an apocalyptic number.

101030379637152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101030379637152 is an abundant number, since it is smaller than the sum of its proper divisors (202071553057248).

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

101030379637152 is a wasteful number, since it uses less digits than its factorization.

101030379637152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354078 (or 5354070 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The spelling of 101030379637152 in words is "one hundred one trillion, thirty billion, three hundred seventy-nine million, six hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 28229 56458 84687 112916 169374 197603 225832 338748 395206 451664 592809 677496 790412 903328 1185618 1354992 1580824 2371236 2709984 3161648 4742472 5325829 6323296 9484944 10651658 15977487 18969888 21303316 31954974 37280803 42606632 63909948 74561606 85213264 111842409 127819896 149123212 170426528 223684818 255639792 298246424 447369636 511279584 596492848 894739272 1192985696 1789478544 3578957088 150342826841 300685653682 451028480523 601371307364 902056961046 1052399787887 1202742614728 1804113922092 2104799575774 2405485229456 3157199363661 3608227844184 4209599151548 4810970458912 6314398727322 7216455688368 8419198303096 12628797454644 14432911376736 16838396606192 25257594909288 33676793212384 50515189818576 101030379637152