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1122231333132 = 2232721348937351
BaseRepresentation
bin10000010101001010001…
…100110011000100001100
310222021200020020111121100
4100111022030303010030
5121341312210130012
62215313532103100
7144035636640600
oct20251214630414
93867606214540
101122231333132
113a2a32370688
121615b5004a90
1381a97835270
143c45dc65500
151e2d25778dc
hex1054a33310c

1122231333132 has 108 divisors (see below), whose sum is σ = 3553732627536. Its totient is φ = 295973092800.

The previous prime is 1122231333131. The next prime is 1122231333151. The reversal of 1122231333132 is 2313331322211.

1122231333132 is a `hidden beast` number, since 1 + 12 + 2 + 2 + 313 + 331 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1122231333096 and 1122231333105.

It is not an unprimeable number, because it can be changed into a prime (1122231333131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24445744 + ... + 24491607.

Almost surely, 21122231333132 is an apocalyptic number.

1122231333132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122231333132 is an abundant number, since it is smaller than the sum of its proper divisors (2431501294404).

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

1122231333132 is a wasteful number, since it uses less digits than its factorization.

1122231333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48937388 (or 48937376 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1122231333132 its reverse (2313331322211), we get a palindrome (3435562655343).

The spelling of 1122231333132 in words is "one trillion, one hundred twenty-two billion, two hundred thirty-one million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 48937351 97874702 146812053 195749404 293624106 342561457 440436159 587248212 636185563 685122914 880872318 1027684371 1272371126 1370245828 1761744636 1908556689 2055368742 2397930199 2544742252 3083053113 3817113378 4110737484 4453298941 4795860398 5725670067 6166106226 7193790597 7634226756 8906597882 9591720796 11451340134 12332212452 13359896823 14387581194 17813195764 21581371791 22902680268 26719793646 28775162388 31173092587 40079690469 43162743582 53439587292 62346185174 80159380938 86325487164 93519277761 124692370348 160318761876 187038555522 280557833283 374077111044 561115666566 1122231333132