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402241101012 = 223317353620639
BaseRepresentation
bin1011101101001110111…
…00000001110011010100
31102110020212121002122000
411312213130001303110
523042242210213022
6504441554435300
741026623642132
oct5664734016324
91373225532560
10402241101012
111456536847a3
1265b59892b30
132bc14a3070a
141567ba9c752
15a6e35336ac
hex5da7701cd4

402241101012 has 96 divisors (see below), whose sum is σ = 1107321062400. Its totient is φ = 125835595776.

The previous prime is 402241101011. The next prime is 402241101049. The reversal of 402241101012 is 210101142204.

402241101012 is a `hidden beast` number, since 402 + 241 + 1 + 0 + 10 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402241101011) 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, 337789 + ... + 958427.

It is an arithmetic number, because the mean of its divisors is an integer number (11534594400).

Almost surely, 2402241101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402241101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553660531200).

402241101012 is an abundant number, since it is smaller than the sum of its proper divisors (705079961388).

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

402241101012 is a wasteful number, since it uses less digits than its factorization.

402241101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621022 (or 621014 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 402241101012 its reverse (210101142204), we get a palindrome (612342243216).

The spelling of 402241101012 in words is "four hundred two billion, two hundred forty-one million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 353 459 612 706 918 1059 1412 1836 2118 3177 4236 6001 6354 9531 12002 12708 18003 19062 24004 36006 38124 54009 72012 108018 162027 216036 324054 620639 648108 1241278 1861917 2482556 3723834 5585751 7447668 10550863 11171502 16757253 21101726 22343004 31652589 33514506 42203452 63305178 67029012 94957767 126610356 189915534 219085567 284873301 379831068 438171134 569746602 657256701 876342268 1139493204 1314513402 1971770103 2629026804 3724454639 3943540206 5915310309 7448909278 7887080412 11173363917 11830620618 14897818556 22346727834 23661241236 33520091751 44693455668 67040183502 100560275253 134080367004 201120550506 402241101012