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102212433432 = 23323145794101
BaseRepresentation
bin101111100110001010…
…1011111011000011000
3100202211100201121100200
41133030111133120120
53133312340332212
6114542235102200
710245630230514
oct1371425373030
9322740647320
10102212433432
113a39128808a
12179868a1960
13983bca5455
144d38c17144
1529d35b06dc
hex17cc55f618

102212433432 has 48 divisors (see below), whose sum is σ = 285755196480. Its totient is φ = 32971752000.

The previous prime is 102212433397. The next prime is 102212433439. The reversal of 102212433432 is 234334212201.

102212433432 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 4 + 3 + 3 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102212433396 and 102212433405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212433439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22894819 + ... + 22899282.

It is an arithmetic number, because the mean of its divisors is an integer number (5953233260).

Almost surely, 2102212433432 is an apocalyptic number.

102212433432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212433432 is an abundant number, since it is smaller than the sum of its proper divisors (183542763048).

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

102212433432 is a wasteful number, since it uses less digits than its factorization.

102212433432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45794144 (or 45794137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102212433432 its reverse (234334212201), we get a palindrome (336546645633).

The spelling of 102212433432 in words is "one hundred two billion, two hundred twelve million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 45794101 91588202 137382303 183176404 274764606 366352808 412146909 549529212 824293818 1099058424 1419617131 1648587636 2839234262 3297175272 4258851393 5678468524 8517702786 11356937048 12776554179 17035405572 25553108358 34070811144 51106216716 102212433432