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101202110022020 = 22576712898370161
BaseRepresentation
bin10111000000101011110011…
…110100011000000110000100
3111021022211100001101212022212
4113000223303310120012010
5101231043410131201040
6555123335120242552
730213416425553060
oct2700536364300604
9437284301355285
10101202110022020
112a278634857017
12b425791a70458
13446141991a397
141adc2cb674aa0
15ba7774851d65
hex5c0af3d18184

101202110022020 has 96 divisors (see below), whose sum is σ = 246701485175040. Its totient is φ = 34153466941440.

The previous prime is 101202110022019. The next prime is 101202110022031. The reversal of 101202110022020 is 20220011202101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101202110021986 and 101202110022004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7905740 + ... + 16275900.

It is an arithmetic number, because the mean of its divisors is an integer number (2569807137240).

Almost surely, 2101202110022020 is an apocalyptic number.

101202110022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202110022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123350742587520).

101202110022020 is an abundant number, since it is smaller than the sum of its proper divisors (145499375153020).

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

101202110022020 is a wasteful number, since it uses less digits than its factorization.

101202110022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8371533 (or 8371531 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101202110022020 its reverse (20220011202101), we get a palindrome (121422121224121).

The spelling of 101202110022020 in words is "one hundred one trillion, two hundred two billion, one hundred ten million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1289 1340 1876 2345 2578 4690 5156 6445 9023 9380 12890 18046 25780 36092 45115 86363 90230 172726 180460 345452 431815 604541 863630 1209082 1727260 2418164 3022705 6045410 8370161 12090820 16740322 33480644 41850805 58591127 83701610 117182254 167403220 234364508 292955635 560800787 585911270 1121601574 1171822540 2243203148 2804003935 3925605509 5608007870 7851211018 10789137529 11216015740 15702422036 19628027545 21578275058 39256055090 43156550116 53945687645 75523962703 78512110180 107891375290 151047925406 215782750580 302095850812 377619813515 722872214443 755239627030 1445744428886 1510479254060 2891488857772 3614361072215 5060105501101 7228722144430 10120211002202 14457444288860 20240422004404 25300527505505 50601055011010 101202110022020