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133032322202332 = 227267281271913259
BaseRepresentation
bin11110001111111000000000…
…010011101111101011011100
3122110000202200021012120022211
4132033320000103233223130
5114414100143440433312
61150534112150250204
740010160650146600
oct3617700023575334
9573022607176284
10133032322202332
113942a766812a13
1212b0667b656964
13592cb815c6ca7
1424bcb27aab500
15105a7217213a7
hex78fe004efadc

133032322202332 has 144 divisors (see below), whose sum is σ = 275958226252800. Its totient is φ = 55938229966080.

The previous prime is 133032322202237. The next prime is 133032322202369. The reversal of 133032322202332 is 233202223230331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133032322202294 and 133032322202303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10033353519 + ... + 10033366777.

It is an arithmetic number, because the mean of its divisors is an integer number (1916376571200).

Almost surely, 2133032322202332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133032322202332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137979113126400).

133032322202332 is an abundant number, since it is smaller than the sum of its proper divisors (142925904050468).

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

133032322202332 is a wasteful number, since it uses less digits than its factorization.

133032322202332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16344 (or 16335 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 133032322202332 its reverse (233202223230331), we get a palindrome (366234545432663).

The spelling of 133032322202332 in words is "one hundred thirty-three trillion, thirty-two billion, three hundred twenty-two million, two hundred two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 281 469 562 938 1124 1876 1967 2719 3283 3934 5438 6566 7868 10876 13132 13259 13769 18827 19033 26518 27538 37654 38066 53036 55076 75308 76132 92813 131789 133231 182173 185626 263578 266462 364346 371252 527156 532924 649691 728692 764039 888353 922523 1275211 1299382 1528078 1776706 1845046 2550422 2598764 3056156 3553412 3690092 3725779 5100844 5348273 6218471 7451558 8926477 10696546 12436942 14903116 17852954 21393092 24873884 26080453 35705908 36051221 37437911 43529297 51190613 52160906 72102442 74875822 87058594 102381226 104321812 144204884 149751644 174117188 182563171 204762452 249627193 252358547 358334291 365126342 499254386 504717094 716668582 730252684 998508772 1009434188 1433337164 1747390351 1766509829 2415431807 2508340037 3494780702 3533019658 4830863614 5016680074 6989561404 7066039316 9661727228 10033360148 10130393101 12231732457 16908022649 20260786202 24463464914 33816045298 40521572404 48926929828 67632090596 70912751707 118356158543 141825503414 236712317086 283651006828 473424634172 496389261949 678736337767 992778523898 1357472675534 1985557047796 2714945351068 4751154364369 9502308728738 19004617457476 33258080550583 66516161101166 133032322202332