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1102253042632 = 2372941127130349
BaseRepresentation
bin10000000010100011011…
…001101010101111001000
310220101002220120012012011
4100002203121222233020
5121024403234331012
62202211300025304
7142430600162650
oct20024331525710
93811086505164
101102253042632
1139551011a2a5
1215975a392234
137cc327bbbb1
143b4c67d1360
151da136991a7
hex100a366abc8

1102253042632 has 128 divisors (see below), whose sum is σ = 2522741760000. Its totient is φ = 441473034240.

The previous prime is 1102253042621. The next prime is 1102253042651. The reversal of 1102253042632 is 2362403522011.

It is a junction number, because it is equal to n+sod(n) for n = 1102253042594 and 1102253042603.

It is an unprimeable number.

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, 8390994 + ... + 8521342.

It is an arithmetic number, because the mean of its divisors is an integer number (19708920000).

Almost surely, 21102253042632 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 1102253042632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261370880000).

1102253042632 is an abundant number, since it is smaller than the sum of its proper divisors (1420488717368).

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

1102253042632 is a wasteful number, since it uses less digits than its factorization.

1102253042632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130559 (or 130555 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 1102253042632 its reverse (2362403522011), we get a palindrome (3464656564643).

The spelling of 1102253042632 in words is "one trillion, one hundred two billion, two hundred fifty-three million, forty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 41 56 58 82 116 127 164 203 232 254 287 328 406 508 574 812 889 1016 1148 1189 1624 1778 2296 2378 3556 3683 4756 5207 7112 7366 8323 9512 10414 14732 16646 20828 25781 29464 33292 36449 41656 51562 66584 72898 103124 130349 145796 151003 206248 260698 291592 302006 521396 604012 912443 1042792 1057021 1208024 1824886 2114042 3649772 3780121 4228084 5344309 7299544 7560242 8456168 10688618 15120484 16554323 21377236 26460847 30240968 33108646 37410163 42754472 52921694 66217292 74820326 105843388 115880261 132434584 149640652 154984961 211686776 231760522 299281304 309969922 463521044 480075367 619939844 678727243 927042088 960150734 1084894727 1239879688 1357454486 1920301468 2169789454 2714908972 3360527569 3840602936 4339578908 4751090701 5429817944 6721055138 8679157816 9502181402 13442110276 19004362804 19683090047 26884220552 38008725608 39366180094 78732360188 137781630329 157464720376 275563260658 551126521316 1102253042632