Search a number
-
+
213121210100022 = 232719313777613829
BaseRepresentation
bin110000011101010100100110…
…000001011010100100110110
31000221121012002120022122111200
4300131110212001122210312
5210413234214241200042
62033134310551113330
762614333156044060
oct6035244601324466
91027535076278450
10213121210100022
11619a821a052224
121baa039a072846
1391bc322a51073
143a8b19b990730
151998b89a5ec4c
hexc1d52605a936

213121210100022 has 192 divisors, whose sum is σ = 588921323827200. Its totient is φ = 54317261387520.

The previous prime is 213121210100021. The next prime is 213121210100063. The reversal of 213121210100022 is 220001012121312.

213121210100022 is a `hidden beast` number, since 21 + 312 + 1 + 210 + 100 + 0 + 22 = 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 = 213121210099968 and 213121210100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121210100021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36060997 + ... + 41552832.

It is an arithmetic number, because the mean of its divisors is an integer number (3067298561600).

Almost surely, 2213121210100022 is an apocalyptic number.

213121210100022 is an abundant number, since it is smaller than the sum of its proper divisors (375800113727178).

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

213121210100022 is a wasteful number, since it uses less digits than its factorization.

213121210100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77613931 (or 77613928 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213121210100022 its reverse (220001012121312), we get a palindrome (433122222221334).

The spelling of 213121210100022 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred ten million, one hundred thousand, twenty-two".