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101103021132 = 223443121315679
BaseRepresentation
bin101111000101000110…
…1011010110001001100
3100122222001011121210020
41132022031122301030
53124024333134012
6114240204342140
710206266333361
oct1361215326114
9318861147706
10101103021132
1139972024213
1217717244950
1396c31aa579
144c71748468
15296aebaa8c
hex178a35ac4c

101103021132 has 48 divisors (see below), whose sum is σ = 236649584640. Its totient is φ = 33595069248.

The previous prime is 101103021119. The next prime is 101103021157. The reversal of 101103021132 is 231120301101.

It is a happy number.

101103021132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1011030211322 (a number of 23 digits) contains 22 as substring.

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, 6440469 + ... + 6456147.

It is an arithmetic number, because the mean of its divisors is an integer number (4930199680).

Almost surely, 2101103021132 is an apocalyptic number.

101103021132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101103021132 is an abundant number, since it is smaller than the sum of its proper divisors (135546563508).

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

101103021132 is a wasteful number, since it uses less digits than its factorization.

101103021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17342 (or 17340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101103021132 its reverse (231120301101), we get a palindrome (332223322233).

The spelling of 101103021132 in words is "one hundred one billion, one hundred three million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 443 886 1213 1329 1772 2426 2658 3639 4852 5316 7278 14556 15679 31358 47037 62716 94074 188148 537359 1074718 1612077 2149436 3224154 6448308 6945797 13891594 19018627 20837391 27783188 38037254 41674782 57055881 76074508 83349564 114111762 228223524 8425251761 16850503522 25275755283 33701007044 50551510566 101103021132