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100322102331132 = 223114779204690527
BaseRepresentation
bin10110110011111000001111…
…010001011100011011111100
3111011012200212210200022102120
4112303320033101130123330
5101122134131144044012
6553211200525322540
730063014134605033
oct2663701721343374
9434180783608376
10100322102331132
1129a69401412a40
12b303119106450
1343c94450753a6
141aab88953171a
15b8e91c57258c
hex5b3e0f45c6fc

100322102331132 has 96 divisors (see below), whose sum is σ = 264099906846720. Its totient is φ = 29377184291520.

The previous prime is 100322102331103. The next prime is 100322102331149. The reversal of 100322102331132 is 231133201223001.

100322102331132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1003221023311322 (a number of 29 digits) contains 22 as substring.

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, 101855148 + ... + 102835379.

It is an arithmetic number, because the mean of its divisors is an integer number (2751040696320).

Almost surely, 2100322102331132 is an apocalyptic number.

100322102331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100322102331132 is an abundant number, since it is smaller than the sum of its proper divisors (163777804515588).

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

100322102331132 is a wasteful number, since it uses less digits than its factorization.

100322102331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204690671 (or 204690669 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100322102331132 its reverse (231133201223001), we get a palindrome (331455303554133).

The spelling of 100322102331132 in words is "one hundred trillion, three hundred twenty-two billion, one hundred two million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 79 94 132 141 158 188 237 282 316 474 517 564 869 948 1034 1551 1738 2068 2607 3102 3476 3713 5214 6204 7426 10428 11139 14852 22278 40843 44556 81686 122529 163372 245058 490116 204690527 409381054 614071581 818762108 1228143162 2251595797 2456286324 4503191594 6754787391 9006383188 9620454769 13509574782 16170551633 19240909538 27019149564 28861364307 32341103266 38481819076 48511654899 57722728614 64682206532 97023309798 105825002459 115445457228 177876067963 194046619596 211650004918 317475007377 355752135926 423300009836 533628203889 634950014754 711504271852 760015926751 1067256407778 1269900029508 1520031853502 2134512815556 2280047780253 3040063707004 4560095560506 8360175194261 9120191121012 16720350388522 25080525582783 33440700777044 50161051165566 100322102331132