Search a number
-
+
2122100022012 = 2232931719236557
BaseRepresentation
bin11110111000010111000…
…001001001101011111100
321111212111210120122002120
4132320113001021223330
5234232030101201022
64302513532122540
7306213421365435
oct36702701115374
97455453518076
102122100022012
11748a83159593
122a333b006450
131251618465c9
14749d2a8a48c
153a302501d5c
hex1ee17049afc

2122100022012 has 48 divisors (see below), whose sum is σ = 5138469372960. Its totient is φ = 680820189952.

The previous prime is 2122100021971. The next prime is 2122100022047. The reversal of 2122100022012 is 2102200012212.

It is a junction number, because it is equal to n+sod(n) for n = 2122100021982 and 2122100022000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9507963 + ... + 9728594.

It is an arithmetic number, because the mean of its divisors is an integer number (107051445270).

Almost surely, 22122100022012 is an apocalyptic number.

It is an amenable number.

2122100022012 is an abundant number, since it is smaller than the sum of its proper divisors (3016369350948).

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

2122100022012 is a wasteful number, since it uses less digits than its factorization.

2122100022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19236910 (or 19236908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2122100022012 its reverse (2102200012212), we get a palindrome (4224300034224).

The spelling of 2122100022012 in words is "two trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 317 348 634 951 1268 1902 3804 9193 18386 27579 36772 55158 110316 19236557 38473114 57709671 76946228 115419342 230838684 557860153 1115720306 1673580459 2231440612 3347160918 6097988569 6694321836 12195977138 18293965707 24391954276 36587931414 73175862828 176841668501 353683337002 530525005503 707366674004 1061050011006 2122100022012