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13210431234 = 23711133759447
BaseRepresentation
bin11000100110110011…
…10010111100000010
31021002122202102211220
430103121302330002
5204023332244414
610022505215510
7645236545530
oct142331627402
937078672756
1013210431234
115669a42570
122688191596
131326b6bc20
148d46a5150
15524b6bca9
hex313672f02

13210431234 has 128 divisors (see below), whose sum is σ = 36433539072. Its totient is φ = 3081680640.

The previous prime is 13210431209. The next prime is 13210431257. The reversal of 13210431234 is 43213401231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192499 + ... + 251945.

It is an arithmetic number, because the mean of its divisors is an integer number (284637024).

Almost surely, 213210431234 is an apocalyptic number.

13210431234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13210431234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18216769536).

13210431234 is an abundant number, since it is smaller than the sum of its proper divisors (23223107838).

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

13210431234 is a wasteful number, since it uses less digits than its factorization.

13210431234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59520.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13210431234 its reverse (43213401231), we get a palindrome (56423832465).

It can be divided in two parts, 13210 and 431234, that added together give a palindrome (444444).

The spelling of 13210431234 in words is "thirteen billion, two hundred ten million, four hundred thirty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 59447 74074 111111 118894 178341 222222 356682 416129 653917 772811 832258 1248387 1307834 1545622 1961751 2199539 2318433 2496774 3923502 4399078 4577419 4636866 5409677 6598617 8500921 9154838 10819354 13197234 13732257 15396773 16229031 17001842 24194929 25502763 27464514 28594007 30793546 32458062 46190319 48389858 51005526 57188014 59506447 72584787 85782021 92380638 119012894 145169574 169364503 171564042 178519341 200158049 314534077 338729006 357038682 400316098 508093509 600474147 629068154 943602231 1016187018 1200948294 1887204462 2201738539 4403477078 6605215617 13210431234