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101032221432 = 23328114981053
BaseRepresentation
bin101111000010111111…
…1010101101011111000
3100122210002221121212010
41132011333111223320
53123403222041212
6114225155045520
710204446466302
oct1360577255370
9318702847763
10101032221432
113993606736a
12176b75a08a0
1396b161ba5c
144c66198972
152964b8303c
hex1785fd5af8

101032221432 has 32 divisors (see below), whose sum is σ = 253479433680. Its totient is φ = 33557556480.

The previous prime is 101032221431. The next prime is 101032221439. The reversal of 101032221432 is 234122230101.

It is a junction number, because it is equal to n+sod(n) for n = 101032221399 and 101032221408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032221431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7483783 + ... + 7497270.

Almost surely, 2101032221432 is an apocalyptic number.

101032221432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101032221432 is an abundant number, since it is smaller than the sum of its proper divisors (152447212248).

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

101032221432 is a wasteful number, since it uses less digits than its factorization.

101032221432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14981343 (or 14981339 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101032221432 its reverse (234122230101), we get a palindrome (335154451533).

The spelling of 101032221432 in words is "one hundred one billion, thirty-two million, two hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 281 562 843 1124 1686 2248 3372 6744 14981053 29962106 44943159 59924212 89886318 119848424 179772636 359545272 4209675893 8419351786 12629027679 16838703572 25258055358 33677407144 50516110716 101032221432