Search a number
-
+
30023120102202 = 232103307349151141
BaseRepresentation
bin1101101001110010011010…
…11010001010001100111010
310221022011220212020122022200
412310321031122022030322
512413344322221232302
6143504233031131030
76216045622124043
oct664711532121472
9127264825218280
1030023120102202
119625808662037
12344a822213a76
13139a22535c9b6
1475b1abbbd8ca
15370e8490e81c
hex1b4e4d68a33a

30023120102202 has 96 divisors (see below), whose sum is σ = 66084844425600. Its totient is φ = 9849892947840.

The previous prime is 30023120102197. The next prime is 30023120102219. The reversal of 30023120102202 is 20220102132003.

30023120102202 is a `hidden beast` number, since 30 + 0 + 231 + 201 + 0 + 2 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198567552 + ... + 198718692.

It is an arithmetic number, because the mean of its divisors is an integer number (688383796100).

Almost surely, 230023120102202 is an apocalyptic number.

30023120102202 is an abundant number, since it is smaller than the sum of its proper divisors (36061724323398).

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

30023120102202 is a wasteful number, since it uses less digits than its factorization.

30023120102202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151908 (or 151905 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30023120102202 its reverse (20220102132003), we get a palindrome (50243222234205).

The spelling of 30023120102202 in words is "thirty trillion, twenty-three billion, one hundred twenty million, one hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 103 206 307 309 349 614 618 698 921 927 1047 1842 1854 2094 2763 3141 5526 6282 31621 35947 63242 71894 94863 107143 107841 151141 189726 214286 215682 284589 302282 321429 323523 453423 569178 642858 647046 906846 964287 1360269 1928574 2720538 11035729 15567523 22071458 31135046 33107187 46400287 46702569 52748209 66214374 92800574 93405138 99321561 105496418 139200861 140107707 158244627 198643122 278401722 280215414 316489254 417602583 474733881 835205166 949467762 4779229561 5433065527 9558459122 10866131054 14337688683 16193700163 16299196581 28675377366 32387400326 32598393162 43013066049 48581100489 48897589743 86026132098 97162200978 97795179486 145743301467 291486602934 1667951116789 3335902233578 5003853350367 10007706700734 15011560051101 30023120102202