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1010131323032 = 2313738313711701
BaseRepresentation
bin11101011001100001000…
…01001100100010011000
310120120022210021221221102
432230300201030202120
5113022222104314112
62052014203530532
7132656665401656
oct16546041144230
93516283257842
101010131323032
1135a437885937
1214392ab29a48
1374341245a40
1436c67bd1dd6
151b420e14bc2
hexeb3084c898

1010131323032 has 128 divisors (see below), whose sum is σ = 2107994535360. Its totient is φ = 450933350400.

The previous prime is 1010131323017. The next prime is 1010131323079. The reversal of 1010131323032 is 2303231310101.

It is a junction number, because it is equal to n+sod(n) for n = 1010131322995 and 1010131323013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86322782 + ... + 86334482.

Almost surely, 21010131323032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010131323032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053997267680).

1010131323032 is an abundant number, since it is smaller than the sum of its proper divisors (1097863212328).

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

1010131323032 is a wasteful number, since it uses less digits than its factorization.

1010131323032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12013 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1010131323032 its reverse (2303231310101), we get a palindrome (3313362633133).

The spelling of 1010131323032 in words is "one trillion, ten billion, one hundred thirty-one million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 73 83 104 137 146 166 274 292 332 548 584 664 949 1079 1096 1781 1898 2158 3562 3796 4316 6059 7124 7592 8632 10001 11371 11701 12118 14248 20002 22742 23402 24236 40004 45484 46804 48472 78767 80008 90968 93608 130013 147823 152113 157534 260026 295646 304226 315068 520052 591292 608452 630136 830083 854173 971183 1040104 1182584 1216904 1603037 1660166 1708346 1942366 3206074 3320332 3416692 3884732 6412148 6640664 6833384 7769464 10791079 11104249 12625379 12824296 20839481 21582158 22208498 25250758 41678962 43164316 44416996 50501516 70896359 83357924 86328632 88833992 101003032 117021701 133052071 141792718 166715848 234043402 266104142 283585436 468086804 532208284 567170872 921652667 936173608 1064416568 1521282113 1729676923 1843305334 3042564226 3459353846 3686610668 6085128452 6918707692 7373221336 9712801183 12170256904 13837415384 19425602366 38851204732 77702409464 126266415379 252532830758 505065661516 1010131323032