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10000311132102 = 23173767255715467
BaseRepresentation
bin1001000110000110000011…
…1111100001111111000110
31022102000112212200101211120
42101201200333201333012
52302321114122211402
633134025101414410
72051333014050054
oct221414077417706
938360485611746
1010000311132102
113206120a21195
121156163b6a406
13577043753265
1426803659d1d4
151251e74003bc
hex91860fe1fc6

10000311132102 has 128 divisors (see below), whose sum is σ = 22084164020736. Its totient is φ = 3005628291072.

The previous prime is 10000311132083. The next prime is 10000311132107. The reversal of 10000311132102 is 20123111300001.

It is a happy number.

10000311132102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000311132107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 646550173 + ... + 646565639.

It is an arithmetic number, because the mean of its divisors is an integer number (172532531412).

Almost surely, 210000311132102 is an apocalyptic number.

10000311132102 is an abundant number, since it is smaller than the sum of its proper divisors (12083852888634).

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

10000311132102 is a wasteful number, since it uses less digits than its factorization.

10000311132102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18150.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10000311132102 its reverse (20123111300001), we get a palindrome (30123422432103).

The spelling of 10000311132102 in words is "ten trillion, three hundred eleven million, one hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 17 34 37 51 67 74 102 111 134 201 222 402 629 1139 1258 1887 2278 2479 2557 3417 3774 4958 5114 6834 7437 7671 14874 15342 15467 30934 42143 43469 46401 84286 86938 92802 94609 126429 130407 171319 189218 252858 260814 262939 283827 342638 513957 525878 567654 572279 788817 1027914 1036289 1144558 1577634 1608353 1716837 2072578 2912423 3108867 3216706 3433674 4825059 5824846 6217734 6338803 8737269 9650118 9728743 12677606 17474538 17616913 19016409 19457486 29186229 35233826 38032818 38342693 39549119 52850739 58372458 76685386 79098238 105701478 107759651 115028079 118647357 215519302 230056158 237294714 323278953 646557906 651825781 672335023 1303651562 1344670046 1463317403 1955477343 2017005069 2649790973 2926634806 3910954686 4034010138 4389952209 5299581946 7949372919 8779904418 15898745838 24876395851 45046446541 49752791702 74629187553 90092893082 98042266001 135139339623 149258375106 196084532002 270278679246 294126798003 588253596006 1666718522017 3333437044034 5000155566051 10000311132102