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131432333322010 = 25723919316928031
BaseRepresentation
bin11101111000100101111001…
…100010100010011100011010
3122020100210211021212000200111
4131320211321202202130122
5114211341404312301020
61143311102543554534
736453446513104450
oct3570457142423432
9566323737760614
10131432333322010
11389731597a9946
12128a85725bba4a
135845028a95356
142465504a769d0
15102dccb0d6d5a
hex7789798a271a

131432333322010 has 128 divisors (see below), whose sum is σ = 282536725708800. Its totient is φ = 43041249884160.

The previous prime is 131432333321969. The next prime is 131432333322029. The reversal of 131432333322010 is 10223333234131.

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, 4688806695 + ... + 4688834725.

It is an arithmetic number, because the mean of its divisors is an integer number (2207318169600).

Almost surely, 2131432333322010 is an apocalyptic number.

131432333322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131432333322010 is an abundant number, since it is smaller than the sum of its proper divisors (151104392386790).

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

131432333322010 is a wasteful number, since it uses less digits than its factorization.

131432333322010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32156.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 131432333322010 its reverse (10223333234131), we get a palindrome (141655666556141).

The spelling of 131432333322010 in words is "one hundred thirty-one trillion, four hundred thirty-two billion, three hundred thirty-three million, three hundred twenty-two thousand, ten".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 919 1610 1838 3169 4595 6338 6433 9190 12866 15845 21137 22183 28031 31690 32165 42274 44366 56062 64330 72887 105685 110915 140155 145774 147959 196217 211370 221830 280310 295918 364435 392434 510209 644713 728870 739795 981085 1020418 1289426 1479590 1962170 2551045 2912311 3223565 4512991 5102090 5824622 6447130 9025982 14561555 20386177 22564955 25760489 29123110 40772354 45129910 51520978 66983153 88830239 101930885 128802445 133966306 177660478 180323423 203861770 257604890 334915765 360646846 444151195 468882071 592491247 621811673 669831530 888302390 901617115 937764142 1184982494 1243623346 1803234230 2043095497 2344410355 2962456235 3109058365 4086190994 4147438729 4688820710 5924912470 6218116730 8294877458 10215477485 14301668479 20430954970 20737193645 28603336958 41474387290 71508342395 81634989641 143016684790 163269979282 408174948205 571444927487 816349896410 1142889854974 1877604761743 2857224637435 3755209523486 5714449274870 9388023808715 13143233332201 18776047617430 26286466664402 65716166661005 131432333322010