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100226960088 = 23329738323767
BaseRepresentation
bin101110101010111111…
…1100000101011011000
3100120200222201002221220
41131111333200223120
53120231100210323
6114013231332040
710145501050503
oct1352577405330
9316628632856
10100226960088
1139562562622
1217511981020
1395b3846158
144bcb26013a
15291911c0e3
hex1755fe0ad8

100226960088 has 128 divisors (see below), whose sum is σ = 265935398400. Its totient is φ = 31430439936.

The previous prime is 100226960077. The next prime is 100226960101. The reversal of 100226960088 is 880069622001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4205181 + ... + 4228947.

It is an arithmetic number, because the mean of its divisors is an integer number (2077620300).

Almost surely, 2100226960088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100226960088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132967699200).

100226960088 is an abundant number, since it is smaller than the sum of its proper divisors (165708438312).

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

100226960088 is a wasteful number, since it uses less digits than its factorization.

100226960088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23961 (or 23957 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 100226960088 in words is "one hundred billion, two hundred twenty-six million, nine hundred sixty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 73 83 87 116 146 166 174 219 232 249 292 332 348 438 498 584 664 696 876 996 1752 1992 2117 2407 4234 4814 6059 6351 7221 8468 9628 12118 12702 14442 16936 18177 19256 23767 24236 25404 28884 36354 47534 48472 50808 57768 71301 72708 95068 142602 145416 175711 190136 285204 351422 527133 570408 689243 702844 1054266 1378486 1405688 1734991 1972661 2067729 2108532 2756972 3469982 3945322 4135458 4217064 5204973 5513944 5917983 6939964 7890644 8270916 10409946 11835966 13879928 15781288 16541832 20819892 23671932 41639784 47343864 50314739 57207169 100629478 114414338 144004253 150944217 171621507 201258956 228828676 288008506 301888434 343243014 402517912 432012759 457657352 576017012 603776868 686486028 864025518 1152034024 1207553736 1372972056 1728051036 3456102072 4176123337 8352246674 12528370011 16704493348 25056740022 33408986696 50113480044 100226960088