Search a number
-
+
213210113123100 = 223525912045769103
BaseRepresentation
bin110000011110100111011001…
…000011100010001100011100
31000221220200120101001011012010
4300132213121003202030130
5210421213302424414400
62033243212423311220
762623631235215142
oct6036473103421434
91027820511034163
10213210113123100
1161a319a0533315
121bab566b5ab510
1391c7820510672
143a915d2cd9592
15199b13e951450
hexc1e9d90e231c

213210113123100 has 72 divisors (see below), whose sum is σ = 627343654936320. Its totient is φ = 55892368633280.

The previous prime is 213210113123083. The next prime is 213210113123113. The reversal of 213210113123100 is 1321311012312.

It is a super-2 number, since 2×2132101131231002 (a number of 29 digits) contains 22 as substring.

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, 6022866852 + ... + 6022902251.

It is an arithmetic number, because the mean of its divisors is an integer number (8713106318560).

Almost surely, 2213210113123100 is an apocalyptic number.

213210113123100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213210113123100 is an abundant number, since it is smaller than the sum of its proper divisors (414133541813220).

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

213210113123100 is a wasteful number, since it uses less digits than its factorization.

213210113123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12045769179 (or 12045769172 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 213210113123100 its reverse (1321311012312), we get a palindrome (214531424135412).

The spelling of 213210113123100 in words is "two hundred thirteen trillion, two hundred ten billion, one hundred thirteen million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 2950 3540 4425 5900 8850 17700 12045769103 24091538206 36137307309 48183076412 60228845515 72274614618 120457691030 144549229236 180686536545 240915382060 301144227575 361373073090 602288455150 710700377077 722746146180 903432682725 1204576910300 1421400754154 1806865365450 2132101131231 2842801508308 3553501885385 3613730730900 4264202262462 7107003770770 8528404524924 10660505656155 14214007541540 17767509426925 21321011312310 35535018853850 42642022624620 53302528280775 71070037707700 106605056561550 213210113123100