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31143014012010 = 23541269757124339
BaseRepresentation
bin1110001010011000011000…
…10010011001010001101010
311002021020120012012201220210
413011030030102121101222
513040221343041341020
6150122523024201550
76363002630236455
oct705141422312152
9132236505181823
1031143014012010
119a177505709aa
1235ab8844692b6
13144ba09849024
1479948943449c
1539017bb723e0
hex1c530c49946a

31143014012010 has 128 divisors (see below), whose sum is σ = 76953011385600. Its totient is φ = 8061399521280.

The previous prime is 31143014011997. The next prime is 31143014012041. The reversal of 31143014012010 is 1021041034113.

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, 250406421 + ... + 250530759.

It is an arithmetic number, because the mean of its divisors is an integer number (601195401450).

Almost surely, 231143014012010 is an apocalyptic number.

31143014012010 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 31143014012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38476505692800).

31143014012010 is an abundant number, since it is smaller than the sum of its proper divisors (45809997373590).

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

31143014012010 is a wasteful number, since it uses less digits than its factorization.

31143014012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125416.

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

Adding to 31143014012010 its reverse (1021041034113), we get a palindrome (32164055046123).

The spelling of 31143014012010 in words is "thirty-one trillion, one hundred forty-three billion, fourteen million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 269 410 538 615 757 807 1230 1345 1514 1614 2271 2690 3785 4035 4542 7570 8070 11029 11355 22058 22710 31037 33087 55145 62074 66174 93111 110290 124339 155185 165435 186222 203633 248678 310370 330870 373017 407266 465555 610899 621695 746034 931110 1018165 1221798 1243390 1865085 2036330 3054495 3730170 5097899 6108990 8348953 10195798 15293697 16697906 25046859 25489495 30587394 33447191 41744765 50093718 50978990 66894382 76468485 83489530 94124623 100341573 125234295 152936970 167235955 188249246 200683146 250468590 282373869 334471910 470623115 501707865 564747738 941246230 1003415730 1371334831 1411869345 2742669662 2823738690 3859109543 4114004493 6856674155 7718219086 8228008986 11577328629 13713348310 19295547715 20570022465 23154657258 25319523587 38591095430 41140044930 50639047174 57886643145 75958570761 115773286290 126597617935 151917141522 253195235870 379792853805 759585707610 1038100467067 2076200934134 3114301401201 5190502335335 6228602802402 10381004670670 15571507006005 31143014012010