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10023021131032 = 2371317929387149
BaseRepresentation
bin1001000111011010101010…
…0111010011010100011000
31022111012011120112212202001
42101312222213103110120
52303204121402143112
633152302355450344
72053065543623350
oct221665247232430
938435146485661
1010023021131032
113214815146548
12115a6415b69b4
13579222705850
1426918c75bb60
15125ac6028c57
hex91daa9d3518

10023021131032 has 128 divisors (see below), whose sum is σ = 24493556304000. Its totient is φ = 3731462627328.

The previous prime is 10023021131029. The next prime is 10023021131033. The reversal of 10023021131032 is 23013112032001.

It is a super-2 number, since 2×100230211310322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023021131033) 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, 114966594 + ... + 115053742.

It is an arithmetic number, because the mean of its divisors is an integer number (191355908625).

Almost surely, 210023021131032 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 10023021131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12246778152000).

10023021131032 is an abundant number, since it is smaller than the sum of its proper divisors (14470535172968).

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

10023021131032 is a wasteful number, since it uses less digits than its factorization.

10023021131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96485 (or 96481 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10023021131032 its reverse (23013112032001), we get a palindrome (33036133163033).

The spelling of 10023021131032 in words is "ten trillion, twenty-three billion, twenty-one million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1547 1768 3094 6188 9293 12376 18586 37172 65051 74344 87149 120809 130102 157981 174298 241618 260204 315962 348596 483236 520408 610043 631924 697192 845663 966472 1105867 1132937 1220086 1263848 1481533 1691326 2053753 2211734 2265874 2440172 2963066 3382652 4107506 4423468 4531748 4880344 5926132 6765304 7930559 8215012 8846936 9063496 10370731 11852264 14376271 15861118 16430024 19259929 20741462 28752542 31722236 38519858 41482924 57505084 63444472 77039716 82965848 115010168 134819503 154079432 269639006 539278012 809875657 1078556024 1619751314 3239502628 5669129599 6479005256 10528383541 11338259198 13767886169 21056767082 22676518396 27535772338 42113534164 45353036792 55071544676 73698684787 84227068328 96375203183 110143089352 147397369574 178982520197 192750406366 294794739148 357965040394 385500812732 589589478296 715930080788 771001625464 1252877641379 1431860161576 2505755282758 5011510565516 10023021131032