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201302011321400 = 235211233978300619
BaseRepresentation
bin101101110001010101000110…
…111000001001110000111000
3222101202021200021122020001202
4231301111012320021300320
5202341113004344241100
61552044511202433332
760254406333043043
oct5561250670116070
9871667607566052
10201302011321400
1159160781505030
121a6b1818362848
13884290cc95812
14379d0d8373c5a
1518414d98617d5
hexb71546e09c38

201302011321400 has 96 divisors (see below), whose sum is σ = 532774019030400. Its totient is φ = 70018090876800.

The previous prime is 201302011321391. The next prime is 201302011321427. The reversal of 201302011321400 is 4123110203102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1989099710 + ... + 1989200909.

It is an arithmetic number, because the mean of its divisors is an integer number (5549729364900).

Almost surely, 2201302011321400 is an apocalyptic number.

201302011321400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201302011321400 is an abundant number, since it is smaller than the sum of its proper divisors (331472007709000).

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

201302011321400 is a wasteful number, since it uses less digits than its factorization.

201302011321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978300669 (or 3978300660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 201302011321400 its reverse (4123110203102), we get a palindrome (205425121524502).

The spelling of 201302011321400 in words is "two hundred one trillion, three hundred two billion, eleven million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 50600 3978300619 7956601238 15913202476 19891503095 31826404952 39783006190 43761306809 79566012380 87522613618 91500914237 99457515475 159132024760 175045227236 183001828474 198915030950 218806534045 350090454472 366003656948 397830061900 437613068090 457504571185 732007313896 795660123800 875226136180 915009142370 1006510056607 1094032670225 1750452272360 1830018284740 2013020113214 2188065340450 2287522855925 3660036569480 4026040226428 4376130680900 4575045711850 5032550283035 8052080452856 8752261361800 9150091423700 10065100566070 18300182847400 20130201132140 25162751415175 40260402264280 50325502830350 100651005660700 201302011321400