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122131333000020 = 22354368099695131
BaseRepresentation
bin11011110001001111101010…
…101110000010101101010100
3121000102122022120211112210110
4123301033222232002231110
5112001444432222000040
61111430205415523020
734503461166602061
oct3361175256025524
9530378276745713
10122131333000020
1135a07675580833
1211845a54389470
13531bc20a86176
14222328c059c68
15e1bdb2504980
hex6f13eab82b54

122131333000020 has 96 divisors (see below), whose sum is σ = 349926112166400. Its totient is φ = 31810438961280.

The previous prime is 122131333000013. The next prime is 122131333000097. The reversal of 122131333000020 is 20000333131221.

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, 175347855 + ... + 176042985.

It is an arithmetic number, because the mean of its divisors is an integer number (3645063668400).

Almost surely, 2122131333000020 is an apocalyptic number.

122131333000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131333000020 is an abundant number, since it is smaller than the sum of its proper divisors (227794779166380).

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

122131333000020 is a wasteful number, since it uses less digits than its factorization.

122131333000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763285 (or 763283 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122131333000020 its reverse (20000333131221), we get a palindrome (142131666131241).

The spelling of 122131333000020 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred thirty-three million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 68099 136198 204297 272396 340495 408594 680990 695131 817188 1021485 1361980 1390262 2042970 2085393 2780524 2928257 3475655 4085940 4170786 5856514 6951310 8341572 8784771 10426965 11713028 13902620 14641285 17569542 20853930 29282570 29890633 35139084 41707860 43923855 58565140 59781266 87847710 89671899 119562532 149453165 175695420 179343798 298906330 358687596 448359495 597812660 896718990 1793437980 47337725969 94675451938 142013177907 189350903876 236688629845 284026355814 473377259690 568052711628 710065889535 946754519380 1420131779070 2035522216667 2840263558140 4071044433334 6106566650001 8142088866668 10177611083335 12213133300002 20355222166670 24426266600004 30532833250005 40710444333340 61065666500010 122131333000020