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100546421120 = 2751710191499
BaseRepresentation
bin101110110100100001…
…0001010000110000000
3100121112020211102002222
41131221002022012000
53121404340433440
6114105042430212
710156430322665
oct1355102120600
9317466742088
10100546421120
1139706919402
12175a0962368
139634a98c52
144c1b85ba6c
1529371c22b5
hex176908a180

100546421120 has 128 divisors (see below), whose sum is σ = 257030820000. Its totient is φ = 37477580800.

The previous prime is 100546421093. The next prime is 100546421177. The reversal of 100546421120 is 21124645001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 100546421120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053131 + ... + 1144629.

Almost surely, 2100546421120 is an apocalyptic number.

100546421120 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 100546421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128515410000).

100546421120 is an abundant number, since it is smaller than the sum of its proper divisors (156484398880).

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

100546421120 is a wasteful number, since it uses less digits than its factorization.

100546421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91636 (or 91624 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 100546421120 in words is "one hundred billion, five hundred forty-six million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 101 128 136 160 170 202 272 320 340 404 505 544 640 680 808 1010 1088 1360 1616 1717 2020 2176 2720 3232 3434 4040 5440 6464 6868 8080 8585 10880 12928 13736 16160 17170 27472 32320 34340 54944 64640 68680 91499 109888 137360 182998 219776 274720 365996 457495 549440 731992 914990 1098880 1463984 1555483 1829980 2927968 3110966 3659960 5855936 6221932 7319920 7777415 9241399 11711872 12443864 14639840 15554830 18482798 24887728 29279680 31109660 36965596 46206995 49775456 58559360 62219320 73931192 92413990 99550912 124438640 147862384 157103783 184827980 199101824 248877280 295724768 314207566 369655960 497754560 591449536 628415132 739311920 785518915 995509120 1182899072 1256830264 1478623840 1571037830 2513660528 2957247680 3142075660 5027321056 5914495360 6284151320 10054642112 12568302640 20109284224 25136605280 50273210560 100546421120