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213300103122 = 232611311482919
BaseRepresentation
bin1100011010100110101…
…1010100011111010010
3202101120020202221001100
43012221223110133102
511443314311244442
6241553321245230
721260526650601
oct3065153243722
9671506687040
10213300103122
1182507390567
1235409933816
1317163926892
14a476649a38
155835e0584c
hex31a9ad47d2

213300103122 has 48 divisors (see below), whose sum is σ = 473312473920. Its totient is φ = 69400562400.

The previous prime is 213300103103. The next prime is 213300103127. The reversal of 213300103122 is 221301003312.

213300103122 is a `hidden beast` number, since 21 + 330 + 0 + 1 + 0 + 312 + 2 = 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 = 213300103095 and 213300103104.

It is not an unprimeable number, because it can be changed into a prime (213300103127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597622 + ... + 885297.

It is an arithmetic number, because the mean of its divisors is an integer number (9860676540).

Almost surely, 2213300103122 is an apocalyptic number.

213300103122 is an abundant number, since it is smaller than the sum of its proper divisors (260012370798).

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

213300103122 is a wasteful number, since it uses less digits than its factorization.

213300103122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483119 (or 1483116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213300103122 its reverse (221301003312), we get a palindrome (434601106434).

The spelling of 213300103122 in words is "two hundred thirteen billion, three hundred million, one hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 122 131 183 262 366 393 549 786 1098 1179 2358 7991 15982 23973 47946 71919 143838 1482919 2965838 4448757 8897514 13346271 26692542 90458059 180916118 194262389 271374177 388524778 542748354 582787167 814122531 1165574334 1628245062 1748361501 3496723002 11850005729 23700011458 35550017187 71100034374 106650051561 213300103122