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422312011002 = 232729607319031
BaseRepresentation
bin1100010010100111100…
…00011110010011111010
31111101001122112222002200
412021103300132103322
523404343333323002
6522001340011030
742340166602530
oct6112360362372
91441048488080
10422312011002
11153113136512
1269a1b530a76
1330a9300510b
1416623562150
15aeba609b1c
hex6253c1e4fa

422312011002 has 96 divisors (see below), whose sum is σ = 1082019444480. Its totient is φ = 116474561280.

The previous prime is 422312010997. The next prime is 422312011027. The reversal of 422312011002 is 200110213224.

It is a happy number.

422312011002 is a `hidden beast` number, since 422 + 31 + 201 + 10 + 0 + 2 = 666.

422312011002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22181227 + ... + 22200257.

It is an arithmetic number, because the mean of its divisors is an integer number (11271035880).

Almost surely, 2422312011002 is an apocalyptic number.

422312011002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 422312011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541009722240).

422312011002 is an abundant number, since it is smaller than the sum of its proper divisors (659707433478).

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

422312011002 is a wasteful number, since it uses less digits than its factorization.

422312011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25148 (or 25145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 422312011002 its reverse (200110213224), we get a palindrome (622422224226).

The spelling of 422312011002 in words is "four hundred twenty-two billion, three hundred twelve million, eleven thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 6073 12146 18219 19031 36438 38062 42511 54657 57093 85022 109314 114186 127533 133217 171279 176117 255066 266434 342558 352234 382599 399651 528351 551899 765198 799302 1056702 1103798 1198953 1232819 1585053 1655697 2397906 2465638 3170106 3311394 3698457 3863293 4967091 7396914 7726586 9934182 11095371 11589879 22190742 23179758 34769637 69539274 115575263 231150526 346725789 693451578 809026841 1040177367 1618053682 2080354734 2427080523 3351682627 4854161046 6703365254 7281241569 10055047881 14562483138 20110095762 23461778389 30165143643 46923556778 60330287286 70385335167 140770670334 211156005501 422312011002