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20202132312131 = 7111743994737123
BaseRepresentation
bin1001001011111101011001…
…11010111001000001000011
32122112022020100001212111112
410211332230322321001003
510121442431332442011
6110544421555033535
74153361446231220
oct445765472710103
978468210055445
1020202132312131
116489749026970
12232338529b8ab
13b3708c2c5263
144dbb075da947
1525078560658b
hex125faceb9043

20202132312131 has 64 divisors (see below), whose sum is σ = 26758361456640. Its totient is φ = 14766169397760.

The previous prime is 20202132312127. The next prime is 20202132312137. The reversal of 20202132312131 is 13121323120202.

It is not a de Polignac number, because 20202132312131 - 22 = 20202132312127 is a prime.

It is a super-2 number, since 2×202021323121312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20202132312097 and 20202132312106.

It is not an unprimeable number, because it can be changed into a prime (20202132312137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 544175936 + ... + 544213058.

It is an arithmetic number, because the mean of its divisors is an integer number (418099397760).

Almost surely, 220202132312131 is an apocalyptic number.

20202132312131 is a deficient number, since it is larger than the sum of its proper divisors (6556229144509).

20202132312131 is a wasteful number, since it uses less digits than its factorization.

20202132312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38544.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 20202132312131 its reverse (13121323120202), we get a palindrome (33323455432333).

The spelling of 20202132312131 in words is "twenty trillion, two hundred two billion, one hundred thirty-two million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 7 11 17 77 119 187 439 947 1309 3073 4829 6629 7463 10417 16099 33803 37123 52241 72919 82093 112693 177089 259861 408353 415733 574651 631091 1239623 2858471 2910131 4417637 4573063 6942001 7067461 16296997 32011441 35155481 48594007 49472227 77742071 114078979 179266967 246088367 277048949 386710291 544194497 597643177 1254868769 1939342643 2706972037 3047538439 4183502239 6574074947 15433256159 21332769073 46018524629 108032793113 169765817749 262365354703 1188360724243 1836557482921 2886018901733 20202132312131