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10120036628284 = 221117831131442527
BaseRepresentation
bin1001001101000100000100…
…1100000011011100111100
31022211110120202022202212221
42103101001030003130330
52311301313334101114
633305025230335124
72063101641012562
oct223210114033474
938743522282787
1010120036628284
113251979936550
1211753b795a4a4
13585413ac881b
1426db5328ba32
151283a3231524
hex9344130373c

10120036628284 has 96 divisors (see below), whose sum is σ = 20886235969536. Its totient is φ = 4239410810880.

The previous prime is 10120036628281. The next prime is 10120036628329. The reversal of 10120036628284 is 48282663002101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10120036628284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120036628281) 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, 6294229 + ... + 7736755.

It is an arithmetic number, because the mean of its divisors is an integer number (217564958016).

Almost surely, 210120036628284 is an apocalyptic number.

It is an amenable number.

10120036628284 is an abundant number, since it is smaller than the sum of its proper divisors (10766199341252).

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

10120036628284 is a wasteful number, since it uses less digits than its factorization.

10120036628284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442755 (or 1442753 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 10120036628284 in words is "ten trillion, one hundred twenty billion, thirty-six million, six hundred twenty-eight thousand, two hundred eighty-four".

Divisors: 1 2 4 11 17 22 34 44 68 83 113 166 187 226 332 374 452 748 913 1243 1411 1826 1921 2486 2822 3652 3842 4972 5644 7684 9379 15521 18758 21131 31042 37516 42262 62084 84524 103169 159443 206338 318886 412676 637772 1442527 1753873 2885054 3507746 5770108 7015492 15867797 24522959 31735594 49045918 63471188 98091836 119729741 163005551 239459482 269752549 326011102 478918964 539505098 652022204 1079010196 1317027151 1793061061 2035405597 2634054302 2771094367 3586122122 4070811194 5268108604 5542188734 7172244244 8141622388 11084377468 13529460733 22389461567 27058921466 30482038037 44778923134 54117842932 60964076074 89557846268 121928152148 148824068063 230000832461 297648136126 460001664922 595296272252 920003329844 2530009157071 5060018314142 10120036628284