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20122101110020 = 22571319955558289
BaseRepresentation
bin1001001001101000010101…
…01100000101010100000100
32122020122122211020120020211
410210310022230011110010
510114140030341010040
6110443544324405204
74144526265233320
oct444641254052404
978218584216224
1020122101110020
11645880a549218
12230b96ab46804
13b2c676887270
144d7cb465c980
1524d64e5228ea
hex124d0ab05504

20122101110020 has 96 divisors (see below), whose sum is σ = 52269239232000. Its totient is φ = 6336311629824.

The previous prime is 20122101110011. The next prime is 20122101110029. The reversal of 20122101110020 is 2001110122102.

It is an interprime number because it is at equal distance from previous prime (20122101110011) and next prime (20122101110029).

It is a super-2 number, since 2×201221011100202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (20122101110029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27416965 + ... + 28141324.

It is an arithmetic number, because the mean of its divisors is an integer number (544471242000).

Almost surely, 220122101110020 is an apocalyptic number.

20122101110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122101110020 is an abundant number, since it is smaller than the sum of its proper divisors (32147138121980).

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

20122101110020 is a wasteful number, since it uses less digits than its factorization.

20122101110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55558517 (or 55558515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20122101110020 its reverse (2001110122102), we get a palindrome (22123211232122).

The spelling of 20122101110020 in words is "twenty trillion, one hundred twenty-two billion, one hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 199 260 364 398 455 796 910 995 1393 1820 1990 2587 2786 3980 5174 5572 6965 10348 12935 13930 18109 25870 27860 36218 51740 72436 90545 181090 362180 55558289 111116578 222233156 277791445 388908023 555582890 722257757 777816046 1111165780 1444515514 1555632092 1944540115 2889031028 3611288785 3889080230 5055804299 7222577570 7778160460 10111608598 11056099511 14445155140 20223217196 22112199022 25279021495 44224398044 50558042990 55280497555 77392696577 101116085980 110560995110 143729293643 154785393154 221121990220 287458587286 309570786308 386963482885 574917174572 718646468215 773926965770 1006105055501 1437292936430 1547853931540 2012210111002 2874585872860 4024420222004 5030525277505 10061050555010 20122101110020