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100120423410432 = 283314485014961
BaseRepresentation
bin10110110000111100011010…
…010001011010101100000000
3111010111102022110012121201000
4112300330122101122230000
5101110333111343113212
6552534404302212000
730042314266221345
oct2660743221325400
9433442273177630
10100120423410432
11299a0918976877
12b290013284000
1343b3413c7a419
141aa1bd64947cc
15b89566a101dc
hex5b0f1a45ab00

100120423410432 has 72 divisors (see below), whose sum is σ = 296073705823280. Its totient is φ = 33373474467840.

The previous prime is 100120423410401. The next prime is 100120423410439. The reversal of 100120423410432 is 234014324021001.

100120423410432 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 204 + 2 + 3 + 410 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100120423410396 and 100120423410405.

It is not an unprimeable number, because it can be changed into a prime (100120423410439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7242500569 + ... + 7242514392.

Almost surely, 2100120423410432 is an apocalyptic number.

100120423410432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120423410432 is an abundant number, since it is smaller than the sum of its proper divisors (195953282412848).

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

100120423410432 is an equidigital number, since it uses as much as digits as its factorization.

100120423410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14485014986 (or 14485014966 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100120423410432 its reverse (234014324021001), we get a palindrome (334134747431433).

The spelling of 100120423410432 in words is "one hundred trillion, one hundred twenty billion, four hundred twenty-three million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 14485014961 28970029922 43455044883 57940059844 86910089766 115880119688 130365134649 173820179532 231760239376 260730269298 347640359064 391095403947 463520478752 521460538596 695280718128 782190807894 927040957504 1042921077192 1390561436256 1564381615788 1854081915008 2085842154384 2781122872512 3128763231576 3708163830016 4171684308768 5562245745024 6257526463152 8343368617536 11124491490048 12515052926304 16686737235072 25030105852608 33373474470144 50060211705216 100120423410432