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10103032100 = 2252773197711
BaseRepresentation
bin10010110100011000…
…00000100100100100
3222002002122012121002
421122030000210210
5131142334011400
64350303012432
7505235233040
oct113214004444
928062565532
1010103032100
114314997607
121b5b59a118
13c50153105
146bbb03020
153e1e60ed5
hex25a300924

10103032100 has 72 divisors (see below), whose sum is σ = 25398874368. Its totient is φ = 3416428800.

The previous prime is 10103032099. The next prime is 10103032123. The reversal of 10103032100 is 123030101.

It is a super-2 number, since 2×101030321002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47756 + ... + 149955.

It is an arithmetic number, because the mean of its divisors is an integer number (352762144).

Almost surely, 210103032100 is an apocalyptic number.

10103032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103032100 is an abundant number, since it is smaller than the sum of its proper divisors (15295842268).

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

10103032100 is a wasteful number, since it uses less digits than its factorization.

10103032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197805 (or 197798 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10103032100 its reverse (123030101), we get a palindrome (10226062201).

The spelling of 10103032100 in words is "ten billion, one hundred three million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 511 700 730 1022 1460 1825 2044 2555 3650 5110 7300 10220 12775 25550 51100 197711 395422 790844 988555 1383977 1977110 2767954 3954220 4942775 5535908 6919885 9885550 13839770 14432903 19771100 27679540 28865806 34599425 57731612 69198850 72164515 101030321 138397700 144329030 202060642 288658060 360822575 404121284 505151605 721645150 1010303210 1443290300 2020606420 2525758025 5051516050 10103032100