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1010134551432 = 233176737399883
BaseRepresentation
bin11101011001100001011…
…01100000101110001000
310120120100000100222110210
432230300231200232020
5113022223421121212
62052014401041120
7132660035006136
oct16546055405610
93516300328423
101010134551432
1135a439690436
121439300261a0
1374341b06336
1436c683d2756
151b42135153c
hexeb30b60b88

1010134551432 has 128 divisors (see below), whose sum is σ = 2714794790400. Its totient is φ = 312059962368.

The previous prime is 1010134551431. The next prime is 1010134551479. The reversal of 1010134551432 is 2341554310101.

It is a self number, because there is not a number n which added to its sum of digits gives 1010134551432.

It is not an unprimeable number, because it can be changed into a prime (1010134551431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102204363 + ... + 102214245.

It is an arithmetic number, because the mean of its divisors is an integer number (21209334300).

Almost surely, 21010134551432 is an apocalyptic number.

1010134551432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010134551432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357397395200).

1010134551432 is an abundant number, since it is smaller than the sum of its proper divisors (1704660238968).

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

1010134551432 is a wasteful number, since it uses less digits than its factorization.

1010134551432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13715 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1010134551432 its reverse (2341554310101), we get a palindrome (3351688861533).

The spelling of 1010134551432 in words is "one trillion, ten billion, one hundred thirty-four million, five hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 402 408 536 804 1139 1608 2278 3417 3739 4556 6834 7478 9112 9883 11217 13668 14956 19766 22434 27336 29649 29912 39532 44868 59298 63563 79064 89736 118596 127126 168011 190689 237192 250513 254252 336022 381378 501026 504033 508504 662161 672044 751539 762756 1002052 1008066 1324322 1344088 1503078 1525512 1986483 2004104 2016132 2648644 3006156 3972966 4032264 4258721 5297288 6012312 7945932 8517442 11256737 12776163 15891864 17034884 22513474 25552326 33770211 34069768 36952537 45026948 51104652 67540422 73905074 90053896 102209304 110857611 135080844 147810148 221715222 270161688 295620296 443430444 628193129 886860888 1256386258 1884579387 2475819979 2512772516 3769158774 4951639958 5025545032 7427459937 7538317548 9903279916 14854919874 15076635096 19806559832 29709839748 42088939643 59419679496 84177879286 126266818929 168355758572 252533637858 336711517144 505067275716 1010134551432