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10110101012020 = 22519101701375779
BaseRepresentation
bin1001001100011111000011…
…1110101011111000110100
31022210111221022201011122101
42103013300332223320310
52311120441324341040
633300303303511444
72062300504453402
oct223076076537064
938714838634571
1010110101012020
1132487404a6a39
1211734a4458584
135844bc561749
1426d48d8c8472
15127ec0d4009a
hex931f0fabe34

10110101012020 has 96 divisors (see below), whose sum is σ = 22602174940800. Its totient is φ = 3787842240000.

The previous prime is 10110101012017. The next prime is 10110101012027. The reversal of 10110101012020 is 2021010101101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10110101011988 and 10110101012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110101012027) 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, 26716491 + ... + 27092269.

It is an arithmetic number, because the mean of its divisors is an integer number (235439322300).

Almost surely, 210110101012020 is an apocalyptic number.

10110101012020 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 10110101012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11301087470400).

10110101012020 is an abundant number, since it is smaller than the sum of its proper divisors (12492073928780).

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

10110101012020 is a wasteful number, since it uses less digits than its factorization.

10110101012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376609 (or 376607 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10110101012020 its reverse (2021010101101), we get a palindrome (12131111113121).

The spelling of 10110101012020 in words is "ten trillion, one hundred ten billion, one hundred one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 701 1010 1402 1919 2020 2804 3505 3838 7010 7676 9595 13319 14020 19190 26638 38380 53276 66595 70801 133190 141602 266380 283204 354005 375779 708010 751558 1345219 1416020 1503116 1878895 2690438 3757790 5380876 6726095 7139801 7515580 13452190 14279602 26904380 28559204 35699005 37953679 71398010 75907358 142796020 151814716 189768395 263421079 379536790 526842158 721119901 759073580 1053684316 1317105395 1442239802 2634210790 2884479604 3605599505 5005000501 5268421580 7211199010 10010001002 14422398020 20020002004 25025002505 26605528979 50050005010 53211057958 100100010020 106422115916 133027644895 266055289790 505505050601 532110579580 1011010101202 2022020202404 2527525253005 5055050506010 10110101012020