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21122202220002 = 2341387517114601
BaseRepresentation
bin1001100110101111001010…
…10111000011010111100010
32202210021002120220220120000
410303113211113003113202
510232031232232020002
6112531223350200430
74310012601346542
oct463274527032742
982707076826500
1021122202220002
11680396a553584
12245175a953116
13ba2a79a948a0
1453046a2a5322
15269684aac61c
hex1335e55c35e2

21122202220002 has 80 divisors (see below), whose sum is σ = 50971127682552. Its totient is φ = 6499008172800.

The previous prime is 21122202219967. The next prime is 21122202220037. The reversal of 21122202220002 is 20002220222112.

It is an interprime number because it is at equal distance from previous prime (21122202219967) and next prime (21122202220037).

It can be written as a sum of positive squares in 4 ways, for example, as 9494095400001 + 11628106820001 = 3081249^2 + 3410001^2 .

It is a super-2 number, since 2×211222022200022 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 184253502 + ... + 184368102.

Almost surely, 221122202220002 is an apocalyptic number.

21122202220002 is an abundant number, since it is smaller than the sum of its proper divisors (29848925462550).

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

21122202220002 is a wasteful number, since it uses less digits than its factorization.

21122202220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202145 (or 202136 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21122202220002 its reverse (20002220222112), we get a palindrome (41124422442114).

The spelling of 21122202220002 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred two million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 87517 114601 175034 229202 262551 343803 525102 687606 787653 1031409 1137721 1489813 1575306 2062818 2275442 2362959 2979626 3094227 3413163 4469439 4725918 6188454 6826326 7088877 8938878 9282681 10239489 13408317 14177754 18565362 20478978 26816634 30718467 40224951 61436934 80449902 92155401 120674853 184310802 241349706 10029535717 20059071434 30088607151 60177214302 90265821453 130383964321 180531642906 260767928642 270797464359 391151892963 541594928718 782303785926 812392393077 1173455678889 1624784786154 2346911357778 3520367036667 7040734073334 10561101110001 21122202220002