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21120020102112 = 253356327617411
BaseRepresentation
bin1001100110101011000110…
…10010111011101111100000
32202210001110111212211112220
410303111203102323233200
510232012300121231422
6112530223035551040
74306604533556031
oct463254322735740
982701414784486
1021120020102112
116802a4a828068
12245124bbbb480
13ba27bc984679
14530300560a88
152695a8223e5c
hex1335634bbbe0

21120020102112 has 48 divisors (see below), whose sum is σ = 55440298150272. Its totient is φ = 7039975541120.

The previous prime is 21120020102039. The next prime is 21120020102113. The reversal of 21120020102112 is 21120102002112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×211200201021122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21120020102091 and 21120020102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120020102113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33898687 + ... + 34516097.

It is an arithmetic number, because the mean of its divisors is an integer number (1155006211464).

Almost surely, 221120020102112 is an apocalyptic number.

It is an amenable number.

21120020102112 is an abundant number, since it is smaller than the sum of its proper divisors (34320278048160).

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

21120020102112 is a wasteful number, since it uses less digits than its factorization.

21120020102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973751 (or 973743 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21120020102112 its reverse (21120102002112), we get a palindrome (42240122104224).

The spelling of 21120020102112 in words is "twenty-one trillion, one hundred twenty billion, twenty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 356327 617411 712654 1068981 1234822 1425308 1852233 2137962 2469644 2850616 3704466 4275924 4939288 5701232 7408932 8551848 9878576 11402464 14817864 17103696 19757152 29635728 34207392 59271456 220000209397 440000418794 660000628191 880000837588 1320001256382 1760001675176 2640002512764 3520003350352 5280005025528 7040006700704 10560010051056 21120020102112