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31212102122130 = 2355334956899887
BaseRepresentation
bin1110001100011001000100…
…10000100111101010010010
311002111211220001200101001010
413012030202100213222102
513042334341120402010
6150214350342151350
76400666662420156
oct706144220475222
9132454801611033
1031212102122130
119a43a83a4a676
123601145a22556
13145539a096167
1479c960cb7066
15391d721a8620
hex1c6322427a92

31212102122130 has 128 divisors (see below), whose sum is σ = 76562309376000. Its totient is φ = 8140531636224.

The previous prime is 31212102122129. The next prime is 31212102122231. The reversal of 31212102122130 is 3122120121213.

It is a junction number, because it is equal to n+sod(n) for n = 31212102122097 and 31212102122106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3156878047 + ... + 3156887933.

It is an arithmetic number, because the mean of its divisors is an integer number (598143042000).

Almost surely, 231212102122130 is an apocalyptic number.

31212102122130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31212102122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38281154688000).

31212102122130 is an abundant number, since it is smaller than the sum of its proper divisors (45350207253870).

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

31212102122130 is a wasteful number, since it uses less digits than its factorization.

31212102122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15988.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 31212102122130 its reverse (3122120121213), we get a palindrome (34334222243343).

The spelling of 31212102122130 in words is "thirty-one trillion, two hundred twelve billion, one hundred two million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 349 530 698 795 1047 1590 1745 2094 3490 5235 5689 9887 10470 11378 17067 18497 19774 28445 29661 34134 36994 49435 55491 56890 59322 85335 92485 98870 110982 148305 170670 184970 277455 296610 301517 524011 554910 603034 904551 1048022 1507585 1572033 1809102 1985461 2620055 3015170 3144066 3450563 3970922 4522755 5240110 5956383 6901126 7860165 9045510 9927305 10351689 11912766 15720330 17252815 19854610 20703378 29781915 34505630 51758445 56247143 59563830 103516890 105229433 112494286 168741429 182879839 210458866 281235715 315688299 337482858 365759678 526147165 548639517 562471430 631376598 843707145 914399195 1052294330 1097279034 1578441495 1687414290 1828798390 2743197585 2981098579 3156882990 5486395170 5962197158 8943295737 14905492895 17886591474 19630252907 29810985790 39260505814 44716478685 58890758721 89432957370 98151264535 117781517442 196302529070 294453793605 588907587210 1040403404071 2080806808142 3121210212213 5202017020355 6242420424426 10404034040710 15606051061065 31212102122130