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101641545940 = 225111014574327
BaseRepresentation
bin101111010101001001…
…1101110100011010100
3100201100120111111221111
41132222103232203110
53131130213432230
6114405443024404
710225525612504
oct1365223564324
9321316444844
10101641545940
113a119003940
121784766b104
13977a9308bc
144cc308ba04
15299d3e392a
hex17aa4ee8d4

101641545940 has 48 divisors (see below), whose sum is σ = 235157053824. Its totient is φ = 36594608000.

The previous prime is 101641545919. The next prime is 101641545959. The reversal of 101641545940 is 49545146101.

It is a super-2 number, since 2×1016415459402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101641545893 and 101641545902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2264944 + ... + 2309383.

It is an arithmetic number, because the mean of its divisors is an integer number (4899105288).

Almost surely, 2101641545940 is an apocalyptic number.

101641545940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101641545940 is an abundant number, since it is smaller than the sum of its proper divisors (133515507884).

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

101641545940 is a wasteful number, since it uses less digits than its factorization.

101641545940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574448 (or 4574446 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 101641545940 in words is "one hundred one billion, six hundred forty-one million, five hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 4574327 9148654 18297308 22871635 45743270 50317597 91486540 100635194 201270388 251587985 462007027 503175970 924014054 1006351940 1848028108 2310035135 4620070270 5082077297 9240140540 10164154594 20328309188 25410386485 50820772970 101641545940