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10132101010020 = 223511117779130343
BaseRepresentation
bin1001001101110001000001…
…0010000001001001100100
31022212121201112120212101010
42103130100102001021210
52312001020324310040
633314342320102220
72064006623403303
oct223342022011144
938777645525333
1010132101010020
113256aaa971070
121177804164970
135865b73b2842
1427057966843a
1512885c46ce80
hex93710481264

10132101010020 has 96 divisors (see below), whose sum is σ = 30949463301120. Its totient is φ = 2456227212160.

The previous prime is 10132101010019. The next prime is 10132101010061. The reversal of 10132101010020 is 2001010123101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10132101009978 and 10132101010005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77668969 + ... + 77799311.

It is an arithmetic number, because the mean of its divisors is an integer number (322390242720).

Almost surely, 210132101010020 is an apocalyptic number.

10132101010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132101010020 is an abundant number, since it is smaller than the sum of its proper divisors (20817362291100).

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

10132101010020 is a wasteful number, since it uses less digits than its factorization.

10132101010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248145 (or 248143 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10132101010020 its reverse (2001010123101), we get a palindrome (12133111133121).

The spelling of 10132101010020 in words is "ten trillion, one hundred thirty-two billion, one hundred one million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 117779 130343 235558 260686 353337 391029 471116 521372 588895 651715 706674 782058 1177790 1295569 1303430 1413348 1433773 1564116 1766685 1955145 2355580 2591138 2606860 2867546 3533370 3886707 3910290 4301319 5182276 5735092 6477845 7066740 7168865 7773414 7820580 8602638 12955690 14337730 15546828 17205276 19433535 21506595 25911380 28675460 38867070 43013190 77734140 86026380 15351668197 30703336394 46055004591 61406672788 76758340985 92110009182 153516681970 168868350167 184220018364 230275022955 307033363940 337736700334 460550045910 506605050501 675473400668 844341750835 921100091820 1013210101002 1688683501670 2026420202004 2533025252505 3377367003340 5066050505010 10132101010020