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22120102101102 = 23192931605741243
BaseRepresentation
bin1010000011110001111001…
…10101000000000001101110
32220022122211221121020111120
411001320330311000001232
510344403432114213402
6115013500140001410
74442060515365135
oct501707465000156
986278757536446
1022120102101102
11705909aa6a015
122593035530266
13c45bbbc30405
1456689383091c
152855dbc863bc
hex141e3cd4006e

22120102101102 has 64 divisors (see below), whose sum is σ = 46731616485120. Its totient is φ = 6960852474624.

The previous prime is 22120102101037. The next prime is 22120102101109. The reversal of 22120102101102 is 20110120102122.

It is a super-2 number, since 2×221201021011022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120102101109) 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 31 ways as a sum of consecutive naturals, for example, 536315293 + ... + 536356535.

It is an arithmetic number, because the mean of its divisors is an integer number (730181507580).

Almost surely, 222120102101102 is an apocalyptic number.

22120102101102 is an abundant number, since it is smaller than the sum of its proper divisors (24611514384018).

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

22120102101102 is a wasteful number, since it uses less digits than its factorization.

22120102101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57617.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22120102101102 its reverse (20110120102122), we get a palindrome (42230222203224).

The spelling of 22120102101102 in words is "twenty-two trillion, one hundred twenty billion, one hundred two million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 19 38 57 114 293 586 879 1758 5567 11134 16057 16701 32114 33402 41243 48171 82486 96342 123729 247458 305083 610166 783617 915249 1567234 1830498 2350851 4701702 4704701 9409402 12084199 14114103 24168398 28228206 36252597 72505194 89389319 178778638 229599781 268167957 459199562 536335914 662238851 688799343 1324477702 1377598686 1986716553 3973433106 12582538169 25165076338 37747614507 75495229014 194035983343 388071966686 582107950029 1164215900058 3686683683517 7373367367034 11060051050551 22120102101102