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201010210100020 = 225412716397141403
BaseRepresentation
bin101101101101000101010110…
…001010110101001100110100
3222100201101111011011022020001
4231231011112022311030310
5202321322402241200040
61551302452105521044
760224336251430146
oct5555052612651464
9870641434138201
10201010210100020
1159058a51304532
121a6651607a3184
138821248927409
14378cd36080c96
151838b0bd6559a
hexb6d1562b5334

201010210100020 has 96 divisors (see below), whose sum is σ = 434083637223936. Its totient is φ = 78140781388800.

The previous prime is 201010210099999. The next prime is 201010210100153. The reversal of 201010210100020 is 20001012010102.

201010210100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 1421470639 + ... + 1421612041.

It is an arithmetic number, because the mean of its divisors is an integer number (4521704554416).

Almost surely, 2201010210100020 is an apocalyptic number.

201010210100020 is a gapful number since it is divisible by the number (20) 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 201010210100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217041818611968).

201010210100020 is an abundant number, since it is smaller than the sum of its proper divisors (233073427123916).

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

201010210100020 is a wasteful number, since it uses less digits than its factorization.

201010210100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148121 (or 148119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201010210100020 its reverse (20001012010102), we get a palindrome (221011222110122).

The spelling of 201010210100020 in words is "two hundred one trillion, ten billion, two hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 6397 11111 12794 22222 25588 31985 44444 55555 63970 111110 127940 141403 222220 262277 282806 524554 565612 707015 1049108 1311385 1414030 1733587 2622770 2828060 3467174 5245540 5797523 6934348 8667935 11595046 17335870 23190092 28987615 34671740 38320213 57975230 71077067 76640426 115950460 142154134 153280852 191601065 284308268 355385335 383202130 710770670 766404260 904554991 1421541340 1571128733 1809109982 3142257466 3618219964 4522774955 6284514932 7855643665 9045549910 15711287330 18091099820 31422574660 37086754631 74173509262 148347018524 185433773155 245134402561 370867546310 490268805122 741735092620 980537610244 1225672012805 2451344025610 4902688051220 10050510505001 20101021010002 40202042020004 50252552525005 100505105050010 201010210100020