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22121344141001 = 7193753138161417
BaseRepresentation
bin1010000011110100001101…
…10111000000011011001001
32220022210001111201101221022
411001322012313000123021
510344414003100003001
6115014223305122225
74442133346505540
oct501720667003311
986283044641838
1022121344141001
117059678079a76
122593321489375
13c46059353a71
14566970785157
15285660d2811b
hex141e86dc06c9

22121344141001 has 64 divisors (see below), whose sum is σ = 27867695224320. Its totient is φ = 17135240878080.

The previous prime is 22121344140983. The next prime is 22121344141003. The reversal of 22121344141001 is 10014144312122.

It is a cyclic number.

It is not a de Polignac number, because 22121344141001 - 226 = 22121277032137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22121344141003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360152045 + ... + 360213461.

It is an arithmetic number, because the mean of its divisors is an integer number (435432737880).

Almost surely, 222121344141001 is an apocalyptic number.

It is an amenable number.

22121344141001 is a deficient number, since it is larger than the sum of its proper divisors (5746351083319).

22121344141001 is a wasteful number, since it uses less digits than its factorization.

22121344141001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62914.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 22121344141001 its reverse (10014144312122), we get a palindrome (32135488453123).

The spelling of 22121344141001 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred forty-four million, one hundred forty-one thousand, one".

Divisors: 1 7 19 37 53 133 259 371 703 1007 1381 1961 4921 7049 9667 13727 26239 37259 51097 61417 73193 183673 260813 357679 429919 512351 970843 1166923 1390667 2272429 2708141 3255101 6795901 8168461 9734669 15907003 18956987 22785707 43176151 51454679 61846919 84816877 120438737 302233057 360182753 432928433 593718139 843071159 1611520663 2288336003 3138224449 4495294481 11280644641 16018352021 21967571143 31467061367 59626264531 85410595139 166325895797 417383851717 597874165973 1164281270579 3160192020143 22121344141001