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102212233332 = 223111943499371
BaseRepresentation
bin101111100110001010…
…0101110100001110100
3100202211100100102212120
41133030110232201310
53133312312431312
6114542230515540
710245625435236
oct1371424564164
9322740312776
10102212233332
113a391160810
1217986805bb0
13983bc35351
144d38ba4256
1529d357128c
hex17cc52e874

102212233332 has 96 divisors (see below), whose sum is σ = 273962304000. Its totient is φ = 29333347200.

The previous prime is 102212233309. The next prime is 102212233337. The reversal of 102212233332 is 233332212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212233337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10902607 + ... + 10911977.

It is an arithmetic number, because the mean of its divisors is an integer number (2853774000).

Almost surely, 2102212233332 is an apocalyptic number.

102212233332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212233332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136981152000).

102212233332 is an abundant number, since it is smaller than the sum of its proper divisors (171750070668).

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

102212233332 is a wasteful number, since it uses less digits than its factorization.

102212233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13757 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102212233332 its reverse (233332212201), we get a palindrome (335544445533).

The spelling of 102212233332 in words is "one hundred two billion, two hundred twelve million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 4349 8698 9371 13047 17396 18742 26094 28113 37484 47839 52188 56226 82631 95678 103081 112452 143517 165262 178049 191356 206162 247893 287034 309243 330524 356098 412324 495786 534147 574068 618486 712196 908941 991572 1068294 1236972 1817882 1958539 2136588 2726823 3635764 3917078 5453646 5875617 7834156 10907292 11751234 23502468 40754479 81508958 122263437 163017916 244526874 448299269 489053748 774335101 896598538 1344897807 1548670202 1793197076 2323005303 2689795614 3097340404 4646010606 5379591228 8517686111 9292021212 17035372222 25553058333 34070744444 51106116666 102212233332