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22201102022112 = 2533131976593841
BaseRepresentation
bin1010000110001000110001…
…10011001011010111100000
32220121101220222020120021000
411003010120303023113200
510402220324104201422
6115115013453232000
74450656001351266
oct503043063132740
986541828216230
1022201102022112
11708a4863455a2
1225a6880192600
13c5072a275460
1456a7792d6436
1528777ce1ccac
hex143118ccb5e0

22201102022112 has 96 divisors (see below), whose sum is σ = 69734230745760. Its totient is φ = 6831108311040.

The previous prime is 22201102022111. The next prime is 22201102022227. The reversal of 22201102022112 is 21122020110222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201102022111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988285689 + ... + 988308152.

It is an arithmetic number, because the mean of its divisors is an integer number (726398236935).

Almost surely, 222201102022112 is an apocalyptic number.

It is an amenable number.

22201102022112 is an abundant number, since it is smaller than the sum of its proper divisors (47533128723648).

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

22201102022112 is a wasteful number, since it uses less digits than its factorization.

22201102022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976593873 (or 1976593859 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22201102022112 its reverse (21122020110222), we get a palindrome (43323122132334).

The spelling of 22201102022112 in words is "twenty-two trillion, two hundred one billion, one hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 1976593841 3953187682 5929781523 7906375364 11859563046 15812750728 17789344569 23719126092 25695719933 31625501456 35578689138 47438252184 51391439866 53368033707 63251002912 71157378276 77087159799 94876504368 102782879732 106736067414 142314756552 154174319598 189753008736 205565759464 213472134828 231261479397 284629513104 308348639196 411131518928 426944269656 462522958794 569259026208 616697278392 693784438191 822263037856 853888539312 925045917588 1233394556784 1387568876382 1707777078624 1850091835176 2466789113568 2775137752764 3700183670352 5550275505528 7400367340704 11100551011056 22201102022112