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100222031332212 = 223311913209439559
BaseRepresentation
bin10110110010011011000010…
…100100111000001101110100
3111010212010120200102211222020
4112302123002210320031310
5101114014210010112322
6553053210544433140
730052542236262426
oct2662330244701564
9433763520384866
10100222031332212
1129a2aa199a4349
12b2a784b6187b0
1343bcb8793756a
141aa6ab4cac816
15b8c011eb105c
hex5b26c2938374

100222031332212 has 96 divisors (see below), whose sum is σ = 242735018803200. Its totient is φ = 32150327059200.

The previous prime is 100222031332169. The next prime is 100222031332259. The reversal of 100222031332212 is 212233130222001.

100222031332212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227786089 + ... + 228225647.

It is an arithmetic number, because the mean of its divisors is an integer number (2528489779200).

Almost surely, 2100222031332212 is an apocalyptic number.

100222031332212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222031332212 is an abundant number, since it is smaller than the sum of its proper divisors (142512987470988).

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

100222031332212 is a wasteful number, since it uses less digits than its factorization.

100222031332212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442997 (or 442995 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100222031332212 its reverse (212233130222001), we get a palindrome (312455161554213).

The spelling of 100222031332212 in words is "one hundred trillion, two hundred twenty-two billion, thirty-one million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 191 372 382 573 764 1146 2292 3209 5921 6418 9627 11842 12836 17763 19254 23684 35526 38508 71052 99479 198958 298437 397916 439559 596874 612919 879118 1193748 1225838 1318677 1758236 1838757 2451676 2637354 3677514 5274708 7355028 13626329 19000489 27252658 38000978 40878987 54505316 57001467 76001956 81757974 83955769 114002934 163515948 167911538 228005868 251867307 335823076 503734614 1007469228 1410544831 2602628839 2821089662 4231634493 5205257678 5642179324 7807886517 8463268986 10410515356 15615773034 16926537972 31231546068 43726889761 87453779522 131180669283 174907559044 262361338566 269414062721 524722677132 538828125442 808242188163 1077656250884 1616484376326 3232968752652 8351835944351 16703671888702 25055507833053 33407343777404 50111015666106 100222031332212