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20122133031 = 32711134914549
BaseRepresentation
bin10010101111010111…
…110110001000100111
31220221100100021021100
4102233113312020213
5312202231224111
613124411051143
71311434210610
oct225727661047
956840307240
1020122133031
118596468410
123a96a40ab3
131b88a9a6c0
14d8c5d8c07
157cb843756
hex4af5f6227

20122133031 has 96 divisors (see below), whose sum is σ = 39112819200. Its totient is φ = 9627206400.

The previous prime is 20122132999. The next prime is 20122133051. The reversal of 20122133031 is 13033122102.

It is not a de Polignac number, because 20122133031 - 25 = 20122132999 is a prime.

It is a super-2 number, since 2×201221330312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20122132995 and 20122133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122133051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4421145 + ... + 4425693.

It is an arithmetic number, because the mean of its divisors is an integer number (407425200).

Almost surely, 220122133031 is an apocalyptic number.

20122133031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20122133031 is a deficient number, since it is larger than the sum of its proper divisors (18990686169).

20122133031 is a wasteful number, since it uses less digits than its factorization.

20122133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20122133031 its reverse (13033122102), we get a palindrome (33155255133).

The spelling of 20122133031 in words is "twenty billion, one hundred twenty-two million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 491 693 819 1001 1287 1473 3003 3437 4419 4549 5401 6383 9009 10311 13647 16203 19149 30933 31843 37807 40941 44681 48609 50039 57447 59137 70213 95529 113421 134043 150117 177411 210639 286587 340263 350273 402129 413959 450351 491491 532233 631917 650507 1050819 1241877 1474473 1951521 2233559 3152457 3725631 4423419 4553549 5854563 6700677 13660647 15634913 20102031 24569149 29036267 40981941 46904739 73707447 87108801 140714217 171984043 203253869 221122341 261326403 319398937 515952129 609761607 958196811 1547856387 1829284821 2235792559 2874590433 6707377677 20122133031