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1141010242232 = 237597112738299
BaseRepresentation
bin10000100110101001100…
…000101001101010111000
311001002010222001221001012
4100212221200221222320
5122143242110222412
62232101201213052
7145302204014660
oct20465140515270
94032128057035
101141010242232
113aa999598a73
12165176031188
138379b2428b3
143d321ccb1a0
151ea30eddc22
hex109a9829ab8

1141010242232 has 128 divisors (see below), whose sum is σ = 2541404160000. Its totient is φ = 470201397120.

The previous prime is 1141010242187. The next prime is 1141010242237. The reversal of 1141010242232 is 2322420101411.

It is a junction number, because it is equal to n+sod(n) for n = 1141010242198 and 1141010242207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141010242237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29773019 + ... + 29811317.

It is an arithmetic number, because the mean of its divisors is an integer number (19854720000).

Almost surely, 21141010242232 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 1141010242232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270702080000).

1141010242232 is an abundant number, since it is smaller than the sum of its proper divisors (1400393917768).

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

1141010242232 is a wasteful number, since it uses less digits than its factorization.

1141010242232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38569 (or 38565 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1141010242232 its reverse (2322420101411), we get a palindrome (3463430343643).

The spelling of 1141010242232 in words is "one trillion, one hundred forty-one billion, ten million, two hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 59 71 118 127 142 236 254 284 413 472 497 508 568 826 889 994 1016 1652 1778 1988 3304 3556 3976 4189 7112 7493 8378 9017 14986 16756 18034 29323 29972 33512 36068 38299 52451 58646 59944 63119 72136 76598 104902 117292 126238 153196 209804 234584 252476 268093 306392 419608 504952 532003 536186 1064006 1072372 2128012 2144744 2259641 2719229 3724021 4256024 4519282 4863973 5438458 7448042 9038564 9727946 10876916 14896084 15817487 18077128 19034603 19455892 21753832 29792168 31634974 34047811 38069206 38911784 63269948 68095622 76138412 126539896 136191244 152276824 160434511 272382488 286974407 320869022 345342083 573948814 641738044 690684166 1123041577 1147897628 1283476088 1381368332 2008820849 2246083154 2295795256 2417394581 2762736664 4017641698 4492166308 4834789162 8035283396 8984332616 9669578324 16070566792 19339156648 20375182897 40750365794 81500731588 142626280279 163001463176 285252560558 570505121116 1141010242232