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102011301200020 = 225229213122134723
BaseRepresentation
bin10111001100011101011011…
…010111110000000010010100
3111101012011222222100211020111
4113030131123113300002110
5101332323121101400040
61000543202251412404
730326034066231322
oct2714353327600224
9441164888324214
10102011301200020
112a55a828109893
12b536582454104
1344bc816b32a04
141b29532578d12
15bbd8349d5dea
hex5cc75b5f0094

102011301200020 has 96 divisors (see below), whose sum is σ = 215403041992320. Its totient is φ = 40580327047680.

The previous prime is 102011301199999. The next prime is 102011301200057. The reversal of 102011301200020 is 20002103110201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21598833379 + ... + 21598838101.

It is an arithmetic number, because the mean of its divisors is an integer number (2243781687420).

Almost surely, 2102011301200020 is an apocalyptic number.

102011301200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011301200020 is an abundant number, since it is smaller than the sum of its proper divisors (113391740792300).

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

102011301200020 is a wasteful number, since it uses less digits than its factorization.

102011301200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9305 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102011301200020 its reverse (20002103110201), we get a palindrome (122013404310221).

The spelling of 102011301200020 in words is "one hundred two trillion, eleven billion, three hundred one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2131 2213 2290 4262 4426 4580 4723 8524 8852 9446 10655 11065 18892 21310 22130 23615 42620 44260 47230 94460 487999 506777 975998 1013554 1081567 1951996 2027108 2163134 2439995 2533885 4326268 4715903 4879990 5067770 5407835 9431806 9759980 10064713 10135540 10451999 10815670 18863612 20129426 20903998 21631340 23579515 40258852 41807996 47159030 50323565 52259995 94318060 100647130 104519990 201294260 209039980 1079941787 2159883574 2304819277 2393507771 4319767148 4609638554 4787015542 5399708935 9219277108 9574031084 10799417870 11524096385 11967538855 21598835740 22273209869 23048192770 23935077710 44546419738 46096385540 47870155420 89092839476 111366049345 222732098690 445464197380 5100565060001 10201130120002 20402260240004 25502825300005 51005650600010 102011301200020