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100232150185552 = 24711179458399173
BaseRepresentation
bin10110110010100100011101…
…101101001111011001010000
3111010220002200212211212020011
4112302210131231033121100
5101114200420421414202
6553102003014524304
730053351056151530
oct2662443555173120
9433802625755204
10100232150185552
1129a34241807660
12b2a97b4366694
1343c0b0b139a48
141aa7394b2d4c0
15b8c4054e9bd7
hex5b291db4f650

100232150185552 has 160 divisors (see below), whose sum is σ = 243527421818880. Its totient is φ = 38824457525760.

The previous prime is 100232150185513. The next prime is 100232150185553. The reversal of 100232150185552 is 255581051232001.

It is a happy number.

100232150185552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100232150185553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010630238 + ... + 1010729410.

It is an arithmetic number, because the mean of its divisors is an integer number (1522046386368).

Almost surely, 2100232150185552 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 100232150185552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121763710909440).

100232150185552 is an abundant number, since it is smaller than the sum of its proper divisors (143295271633328).

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

100232150185552 is a wasteful number, since it uses less digits than its factorization.

100232150185552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103961 (or 103955 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 40.

The spelling of 100232150185552 in words is "one hundred trillion, two hundred thirty-two billion, one hundred fifty million, one hundred eighty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 179 308 358 616 716 1232 1253 1432 1969 2506 2864 3938 4583 5012 7876 9166 10024 13783 15752 18332 20048 27566 31504 32081 36664 50413 55132 64162 73328 99173 100826 110264 128324 198346 201652 220528 256648 352891 396692 403304 513296 694211 705782 793384 806608 820357 1090903 1388422 1411564 1586768 1640714 2181806 2776844 2823128 3281428 4363612 5553688 5646256 5742499 6562856 7636321 8727224 9023927 11107376 11484998 13125712 15272642 17454448 17751967 18047854 22969996 30545284 35503934 36095708 45939992 61090568 63167489 71007868 72191416 91879984 122181136 124263769 126334978 142015736 144382832 195271637 248527538 252669956 284031472 390543274 454509859 497055076 505339912 781086548 909019718 994110152 1010679824 1366901459 1562173096 1818039436 1988220304 2733802918 3124346192 3181569013 3636078872 4999608449 5467605836 6363138026 7272157744 9999216898 10935211672 12726276052 19998433796 21870423344 25452552104 34997259143 39996867592 50905104208 69994518286 79993735184 81357264761 139989036572 162714529522 279978073144 325429059044 559956146288 569500853327 650858118088 894929912371 1139001706654 1301716236176 1789859824742 2278003413308 3579719649484 4556006826616 6264509386597 7159439298968 9112013653232 12529018773194 14318878597936 25058037546388 50116075092776 100232150185552