Search a number
-
+
20403422430402 = 23114127127823127
BaseRepresentation
bin1001010001110100010101…
…01111110000010011000010
32200020112210120221100120010
410220322022233300103002
510133242202120233102
6111221111452525350
74204045554061044
oct450721257602302
980215716840503
1020403422430402
116557052056010
1223563a0a80856
13b5005a99c60b
14507760b89a94
15255b16e67d6c
hex128e8abf04c2

20403422430402 has 64 divisors (see below), whose sum is σ = 45770603655168. Its totient is φ = 6009795216000.

The previous prime is 20403422430371. The next prime is 20403422430409.

20403422430402 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 20403422430402.

It is not an unprimeable number, because it can be changed into a prime (20403422430409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13178238 + ... + 14644889.

It is an arithmetic number, because the mean of its divisors is an integer number (715165682112).

Almost surely, 220403422430402 is an apocalyptic number.

20403422430402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20403422430402 is an abundant number, since it is smaller than the sum of its proper divisors (25367181224766).

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

20403422430402 is a wasteful number, since it uses less digits than its factorization.

20403422430402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27823455.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 2040342 and 2430402, that added together give a palindrome (4470744).

The spelling of 20403422430402 in words is "twenty trillion, four hundred three billion, four hundred twenty-two million, four hundred thirty thousand, four hundred two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 271 451 542 813 902 1353 1626 2706 2981 5962 8943 11111 17886 22222 33333 66666 122221 244442 366663 733326 27823127 55646254 83469381 166938762 306054397 612108794 918163191 1140748207 1836326382 2281496414 3422244621 6844489242 7540067417 12548230277 15080134834 22620202251 25096460554 37644690831 45240404502 75289381662 82940741587 165881483174 248822224761 309142764097 497644449522 618285528194 927428292291 1854856584582 3400570405067 6801140810134 10201711215201 20403422430402