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10222131001020 = 2235355749679643
BaseRepresentation
bin1001010011000000011001…
…1111001011011010111100
31100012020002212220021102020
42110300012133023122330
52314434411014013040
633423552051200140
72103344635610211
oct224600637133274
940166085807366
1010222131001020
1132911aa506904
12119114aba6050
13591c344a5973
14274a7a531b08
1512ad7b270cd0
hex94c067cb6bc

10222131001020 has 96 divisors (see below), whose sum is σ = 28638747099648. Its totient is φ = 2724304058112.

The previous prime is 10222131001009. The next prime is 10222131001031. The reversal of 10222131001020 is 2010013122201.

10222131001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10222131001009) and next prime (10222131001031).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 1060052319 + ... + 1060061961.

It is an arithmetic number, because the mean of its divisors is an integer number (298320282288).

Almost surely, 210222131001020 is an apocalyptic number.

10222131001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222131001020 is an abundant number, since it is smaller than the sum of its proper divisors (18416616098628).

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

10222131001020 is a wasteful number, since it uses less digits than its factorization.

10222131001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18179 (or 18177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10222131001020 its reverse (2010013122201), we get a palindrome (12232144123221).

The spelling of 10222131001020 in words is "ten trillion, two hundred twenty-two billion, one hundred thirty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3557 4967 7114 9643 9934 10671 14228 14901 17785 19286 19868 21342 24835 28929 29802 35570 38572 42684 48215 49670 53355 57858 59604 71140 74505 96430 99340 106710 115716 144645 149010 192860 213420 289290 298020 578580 17667619 34300151 35335238 47896781 53002857 68600302 70670476 88338095 95793562 102900453 106005714 137200604 143690343 171500755 176676190 191587124 205800906 212011428 239483905 265014285 287380686 343001510 353352380 411601812 478967810 514502265 530028570 574761372 686003020 718451715 957935620 1029004530 1060057140 1436903430 2058009060 2873806860 170368850017 340737700034 511106550051 681475400068 851844250085 1022213100102 1703688500170 2044426200204 2555532750255 3407377000340 5111065500510 10222131001020