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2200210113120 = 253539983114643
BaseRepresentation
bin100000000001000110101…
…111100000001001100000
321210100010102111101110220
4200001012233200021200
5242022012242104440
64402432414323040
7314650154246535
oct40010657401140
97710112441426
102200210113120
11779116282098
122b64b9ab9480
1312c62c26ba26
14786c2826d8c
153c374b078d0
hex20046be0260

2200210113120 has 96 divisors (see below), whose sum is σ = 6930895652352. Its totient is φ = 586702904832.

The previous prime is 2200210113109. The next prime is 2200210113217. The reversal of 2200210113120 is 213110120022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22002101131202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200210113120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19134519 + ... + 19249161.

It is an arithmetic number, because the mean of its divisors is an integer number (72196829712).

Almost surely, 22200210113120 is an apocalyptic number.

2200210113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200210113120 is an abundant number, since it is smaller than the sum of its proper divisors (4730685539232).

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

2200210113120 is a wasteful number, since it uses less digits than its factorization.

2200210113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154644 (or 154636 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2200210113120 its reverse (213110120022), we get a palindrome (2413320233142).

The spelling of 2200210113120 in words is "two trillion, two hundred billion, two hundred ten million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 39983 79966 114643 119949 159932 199915 229286 239898 319864 343929 399830 458572 479796 573215 599745 639728 687858 799660 917144 959592 1146430 1199490 1279456 1375716 1599320 1719645 1834288 1919184 2292860 2398980 2751432 3198640 3439290 3668576 3838368 4585720 4797960 5502864 6397280 6878580 9171440 9595920 11005728 13757160 18342880 19191840 27514320 55028640 4583771069 9167542138 13751313207 18335084276 22918855345 27502626414 36670168552 45837710690 55005252828 68756566035 73340337104 91675421380 110010505656 137513132070 146680674208 183350842760 220021011312 275026264140 366701685520 440042022624 550052528280 733403371040 1100105056560 2200210113120