Search a number
-
+
2114331011430 = 2351137173163883
BaseRepresentation
bin11110110001000111111…
…100101110100101100110
321111010110100211000002220
4132301013330232211212
5234120122214331210
64255151003213210
7305520044032011
oct36610774564546
97433410730086
102114331011430
1174575680a990
122a1931217206
131244c411ac21
1474496d50378
1539eea432c70
hex1ec47f2e966

2114331011430 has 64 divisors (see below), whose sum is σ = 5685316639488. Its totient is φ = 498711980160.

The previous prime is 2114331011407. The next prime is 2114331011437. The reversal of 2114331011430 is 341101334112.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2114331011430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114331011437) 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, 86569732 + ... + 86594151.

It is an arithmetic number, because the mean of its divisors is an integer number (88833072492).

Almost surely, 22114331011430 is an apocalyptic number.

2114331011430 is an abundant number, since it is smaller than the sum of its proper divisors (3570985628058).

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

2114331011430 is a wasteful number, since it uses less digits than its factorization.

2114331011430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173163941.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 2114331011430 its reverse (341101334112), we get a palindrome (2455432345542).

The spelling of 2114331011430 in words is "two trillion, one hundred fourteen billion, three hundred thirty-one million, eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 12210 173163883 346327766 519491649 865819415 1038983298 1731638830 1904802713 2597458245 3809605426 5194916490 5714408139 6407063671 9524013565 11428816278 12814127342 19048027130 19221191013 28572040695 32035318355 38442382026 57144081390 64070636710 70477700381 96105955065 140955400762 192211910130 211433101143 352388501905 422866202286 704777003810 1057165505715 2114331011430