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31313221202142 = 232111511913547483
BaseRepresentation
bin1110001111010101011010…
…11011010011000011011110
311002212111220020001212110200
413013222231123103003132
513101013434111432032
6150333032323044330
76411206545416465
oct707525533230336
9132774806055420
1031313221202142
119a82954042090
1236188665106a6
131461a936a7009
147a37d48019dc
153947de79747c
hex1c7aad6d30de

31313221202142 has 96 divisors (see below), whose sum is σ = 74542302971136. Its totient is φ = 9421070256000.

The previous prime is 31313221202117. The next prime is 31313221202183. The reversal of 31313221202142 is 24120212231313.

31313221202142 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 322 + 120 + 214 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56921133 + ... + 57468615.

It is an arithmetic number, because the mean of its divisors is an integer number (776482322616).

Almost surely, 231313221202142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31313221202142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37271151485568).

31313221202142 is an abundant number, since it is smaller than the sum of its proper divisors (43229081768994).

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

31313221202142 is a wasteful number, since it uses less digits than its factorization.

31313221202142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549566 (or 549563 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31313221202142 its reverse (24120212231313), we get a palindrome (55433433433455).

The spelling of 31313221202142 in words is "thirty-one trillion, three hundred thirteen billion, two hundred twenty-one million, two hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 198 302 453 906 1359 1661 1913 2718 3322 3826 4983 5739 9966 11478 14949 17217 21043 29898 34434 42086 63129 126258 189387 288863 378774 547483 577726 866589 1094966 1642449 1733178 2599767 3177493 3284898 4927347 5199534 6022313 6354986 9532479 9854694 12044626 18066939 19064958 28597437 36133878 54200817 57194874 82669933 108401634 165339866 248009799 496019598 744029397 909369263 1047334979 1488058794 1818738526 2094669958 2728107789 3142004937 5456215578 6284009874 8184323367 9426014811 11520684769 16368646734 18852029622 23041369538 34562054307 69124108614 103686162921 158147581829 207372325842 316295163658 474442745487 948885490974 1423328236461 1739623400119 2846656472922 3479246800238 5218870200357 10437740400714 15656610601071 31313221202142