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2000102111220 = 2235859361710729
BaseRepresentation
bin11101000110101111011…
…000000011011111110100
321002012121112222122020010
4131012233120003133310
5230232202120024340
64130500105340220
7264334252302303
oct35065730033764
97065545878203
102000102111220
11701269554524
12283772197670
131167bb766b05
146cb3c27043a
1537061e4cb80
hex1d1af6037f4

2000102111220 has 96 divisors (see below), whose sum is σ = 5608878307200. Its totient is φ = 532542726144.

The previous prime is 2000102111191. The next prime is 2000102111237. The reversal of 2000102111220 is 221112010002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2000102111196 and 2000102111205.

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, 186414816 + ... + 186425544.

It is an arithmetic number, because the mean of its divisors is an integer number (58425815700).

Almost surely, 22000102111220 is an apocalyptic number.

2000102111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000102111220 is an abundant number, since it is smaller than the sum of its proper divisors (3608776195980).

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

2000102111220 is a wasteful number, since it uses less digits than its factorization.

2000102111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15217 (or 15215 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2000102111220 its reverse (221112010002), we get a palindrome (2221214121222).

The spelling of 2000102111220 in words is "two trillion, one hundred two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 859 1718 2577 3436 3617 4295 5154 7234 8590 10308 10729 10851 12885 14468 17180 18085 21458 21702 25770 32187 36170 42916 43404 51540 53645 54255 64374 72340 107290 108510 128748 160935 214580 217020 321870 643740 3107003 6214006 9216211 9321009 12428012 15535015 18432422 18642018 27648633 31070030 36864844 37284036 38806793 46081055 46605045 55297266 62140060 77613586 92162110 93210090 110594532 116420379 138243165 155227172 184324220 186420180 194033965 232840758 276486330 388067930 465681516 552972660 582101895 776135860 1164203790 2328407580 33335035187 66670070374 100005105561 133340140748 166675175935 200010211122 333350351870 400020422244 500025527805 666700703740 1000051055610 2000102111220