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201012213300120 = 233253881143872007
BaseRepresentation
bin101101101101000111001101…
…100100011011101110011000
3222100201120122202112102011100
4231231013031210123232120
5202321341003101100440
61551303422545231400
760224440014360525
oct5555071544335630
9870646582472140
10201012213300120
115905988a037402
121a66561b632560
1388214a7952211
14378d08613014c
151838bc7b5b230
hexb6d1cd91bb98

201012213300120 has 96 divisors (see below), whose sum is σ = 653458028015520. Its totient is φ = 53589444794880.

The previous prime is 201012213300109. The next prime is 201012213300161. The reversal of 201012213300120 is 21003312210102.

201012213300120 is a `hidden beast` number, since 2 + 0 + 101 + 221 + 330 + 0 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201012213300093 and 201012213300102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70538844 + ... + 73333163.

It is an arithmetic number, because the mean of its divisors is an integer number (6806854458495).

Almost surely, 2201012213300120 is an apocalyptic number.

201012213300120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012213300120 is an abundant number, since it is smaller than the sum of its proper divisors (452445814715400).

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

201012213300120 is a wasteful number, since it uses less digits than its factorization.

201012213300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143875905 (or 143875898 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201012213300120 its reverse (21003312210102), we get a palindrome (222015525510222).

The spelling of 201012213300120 in words is "two hundred one trillion, twelve billion, two hundred thirteen million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3881 7762 11643 15524 19405 23286 31048 34929 38810 46572 58215 69858 77620 93144 116430 139716 155240 174645 232860 279432 349290 465720 698580 1397160 143872007 287744014 431616021 575488028 719360035 863232042 1150976056 1294848063 1438720070 1726464084 2158080105 2589696126 2877440140 3452928168 4316160210 5179392252 5754880280 6474240315 8632320420 10358784504 12948480630 17264640840 25896961260 51793922520 558367259167 1116734518334 1675101777501 2233469036668 2791836295835 3350203555002 4466938073336 5025305332503 5583672591670 6700407110004 8375508887505 10050610665006 11167345183340 13400814220008 16751017775010 20101221330012 22334690366680 25126526662515 33502035550020 40202442660024 50253053325030 67004071100040 100506106650060 201012213300120