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132231262132230 = 235171517512286373
BaseRepresentation
bin11110000100001101111101…
…011010000101100000000110
3122100012012000000100200112120
4132010031331122011200012
5114312434111101212410
61145122111521030410
736565251641665302
oct3604157532054006
9570165000320476
10132231262132230
1139150a66236928
12129b737a185406
1358a247bb3a601
142492054a3cd02
15104498a334570
hex78437d685806

132231262132230 has 128 divisors (see below), whose sum is σ = 338698835030016. Its totient is φ = 32923756800000.

The previous prime is 132231262132223. The next prime is 132231262132273. The reversal of 132231262132230 is 32231262132231.

It is a junction number, because it is equal to n+sod(n) for n = 132231262132191 and 132231262132200.

It is a congruent 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, 56691324 + ... + 58977696.

It is an arithmetic number, because the mean of its divisors is an integer number (2646084648672).

Almost surely, 2132231262132230 is an apocalyptic number.

132231262132230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132231262132230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169349417515008).

132231262132230 is an abundant number, since it is smaller than the sum of its proper divisors (206467572897786).

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

132231262132230 is a wasteful number, since it uses less digits than its factorization.

132231262132230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287302.

The product of its (nonzero) digits is 31104, while the sum is 33.

Subtracting from 132231262132230 its reverse (32231262132231), we obtain a palindrome (99999999999999).

The spelling of 132231262132230 in words is "one hundred thirty-two trillion, two hundred thirty-one billion, two hundred sixty-two million, one hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 151 170 255 302 453 510 751 755 906 1502 1510 2253 2265 2567 3755 4506 4530 5134 7510 7701 11265 12767 12835 15402 22530 25534 25670 38301 38505 63835 76602 77010 113401 127670 191505 226802 340203 383010 567005 680406 1134010 1701015 1927817 2286373 3402030 3855634 4572746 5783451 6859119 9639085 11431865 11566902 13718238 19278170 22863730 28917255 34295595 38868341 57834510 68591190 77736682 116605023 194341705 233210046 345242323 388683410 583025115 690484646 1035726969 1166050230 1717066123 1726211615 2071453938 3434132246 3452423230 5151198369 5178634845 5869119491 8585330615 10302396738 10357269690 11738238982 17170661230 17607358473 25755991845 29190124091 29345597455 35214716946 51511983690 58380248182 58691194910 87570372273 88036792365 145950620455 175140744546 176073584730 259276984573 291901240910 437851861365 518553969146 777830953719 875703722730 1296384922865 1555661907438 2592769845730 3889154768595 4407708737741 7778309537190 8815417475482 13223126213223 22038543688705 26446252426446 44077087377410 66115631066115 132231262132230