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10020111209984 = 29151160780651
BaseRepresentation
bin1001000111001111110100…
…1010110101011000000000
31022110220122210000120111102
42101303331022311120000
52303132141432204414
633151101530033532
72052633460662461
oct221637512653000
938426583016442
1010020111209984
113213561610817
121159b6ab788a8
13578b7a8a0185
14268d940c2d68
151259a5829ede
hex91cfd2b5600

10020111209984 has 80 divisors (see below), whose sum is σ = 20166029934336. Its totient is φ = 4973717760000.

The previous prime is 10020111209923. The next prime is 10020111209993. The reversal of 10020111209984 is 48990211102001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124200059 + ... + 124280709.

Almost surely, 210020111209984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020111209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083014967168).

10020111209984 is an abundant number, since it is smaller than the sum of its proper divisors (10145918724352).

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

10020111209984 is an equidigital number, since it uses as much as digits as its factorization.

10020111209984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82427 (or 82411 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 38.

The spelling of 10020111209984 in words is "ten trillion, twenty billion, one hundred eleven million, two hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 512 604 1208 1607 2416 3214 4832 6428 9664 12856 19328 25712 38656 51424 77312 80651 102848 161302 205696 242657 322604 411392 485314 645208 822784 970628 1290416 1941256 2580832 3882512 5161664 7765024 10323328 12178301 15530048 20646656 24356602 31060096 41293312 48713204 62120192 97426408 124240384 129606157 194852816 259212314 389705632 518424628 779411264 1036849256 1558822528 2073698512 3117645056 4147397024 6235290112 8294794048 16589588096 19570529707 33179176192 39141059414 66358352384 78282118828 156564237656 313128475312 626256950624 1252513901248 2505027802496 5010055604992 10020111209984