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22002031121022 = 23217241421708667
BaseRepresentation
bin1010000000010101111110…
…01111111101001001111110
32212220101002101012222212100
411000022333033331021332
510340440124431333042
6114443332113045530
74430410561536411
oct500127717751176
985811071188770
1022002031121022
117013010a81137
1225741838568a6
13c37a2359a764
14560c92787b78
152824cb32224c
hex1402bf3fd27e

22002031121022 has 96 divisors (see below), whose sum is σ = 50805151604064. Its totient is φ = 6857619148800.

The previous prime is 22002031121011. The next prime is 22002031121023. The reversal of 22002031121022 is 22012113020022.

22002031121022 is a `hidden beast` number, since 220 + 0 + 203 + 11 + 210 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22002031120986 and 22002031121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002031121023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30692733 + ... + 31401399.

It is an arithmetic number, because the mean of its divisors is an integer number (529220329209).

Almost surely, 222002031121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002031121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25402575802032).

22002031121022 is an abundant number, since it is smaller than the sum of its proper divisors (28803120483042).

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

22002031121022 is a wasteful number, since it uses less digits than its factorization.

22002031121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709354 (or 709351 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22002031121022 its reverse (22012113020022), we get a palindrome (44014144141044).

The spelling of 22002031121022 in words is "twenty-two trillion, two billion, thirty-one million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 241 306 421 482 723 842 1263 1446 2169 2526 3789 4097 4338 7157 7578 8194 12291 14314 21471 24582 36873 42942 64413 73746 101461 128826 202922 304383 608766 708667 913149 1417334 1724837 1826298 2126001 3449674 4252002 5174511 6378003 10349022 12047339 12756006 15523533 24094678 31047066 36142017 72284034 108426051 170788747 216852102 298348807 341577494 512366241 596697614 895046421 1024732482 1537098723 1790092842 2685139263 2903408699 3074197446 5071929719 5370278526 5806817398 8710226097 10143859438 15215789157 17420452194 26130678291 30431578314 45647367471 52261356582 71902062487 91294734942 143804124974 215706187461 431412374922 647118562383 1222335062279 1294237124766 2444670124558 3667005186837 7334010373674 11001015560511 22002031121022