Search a number
-
+
21121110221004 = 223213191010344027
BaseRepresentation
bin1001100110101101001000…
…10001011010000011001100
32202210011021111010121112200
410303112210101122003030
510232022013204033004
6112530523141001500
74306643541456153
oct463264421320314
982704244117480
1021121110221004
11680345a103572
1224514b50b3290
13ba2934785931
145303a524a59a
1526961dca7239
hex1335a445a0cc

21121110221004 has 72 divisors (see below), whose sum is σ = 53436452509440. Its totient is φ = 7034176312032.

The previous prime is 21121110220949. The next prime is 21121110221033. The reversal of 21121110221004 is 40012201112112.

It is a super-2 number, since 2×211211102210042 (a number of 27 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479708839 + ... + 479752865.

It is an arithmetic number, because the mean of its divisors is an integer number (742172951520).

Almost surely, 221121110221004 is an apocalyptic number.

It is an amenable number.

21121110221004 is an abundant number, since it is smaller than the sum of its proper divisors (32315342288436).

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

21121110221004 is a wasteful number, since it uses less digits than its factorization.

21121110221004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55459 (or 55454 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21121110221004 its reverse (40012201112112), we get a palindrome (61133311333116).

The spelling of 21121110221004 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1319 2638 3957 5276 7914 10103 11871 15828 20206 23742 30309 40412 44027 47484 60618 88054 90927 121236 132081 176108 181854 264162 363708 396243 528324 792486 1584972 13325857 26651714 39977571 53303428 58071613 79955142 116143226 119932713 159910284 174214839 232286452 239865426 348429678 444804781 479730852 522644517 696859356 889609562 1045289034 1334414343 1779219124 2090578068 2668828686 4003243029 5337657372 8006486058 16012972116 586697506139 1173395012278 1760092518417 2346790024556 3520185036834 5280277555251 7040370073668 10560555110502 21121110221004