Search a number
-
+
122221010011002 = 23711593251015617
BaseRepresentation
bin11011110010100011001011…
…111000101100001101111010
3121000202012210022221201021120
4123302203023320230031322
5112004432112030323002
61111535320141250110
734513114364610510
oct3362431370541572
9530665708851246
10122221010011002
1135a41703946451
121185b300b63936
1353275129bb886
1422277580bc4b0
15e1e3b0330cbc
hex6f28cbe2c37a

122221010011002 has 32 divisors (see below), whose sum is σ = 279386407208832. Its totient is φ = 34917276248064.

The previous prime is 122221010010997. The next prime is 122221010011007. The reversal of 122221010011002 is 200110010122221.

It is an interprime number because it is at equal distance from previous prime (122221010010997) and next prime (122221010011007).

It is a super-2 number, since 2×1222210100110022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122221010011007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125020903 + ... + 125994714.

It is an arithmetic number, because the mean of its divisors is an integer number (8730825225276).

Almost surely, 2122221010011002 is an apocalyptic number.

122221010011002 is an abundant number, since it is smaller than the sum of its proper divisors (157165397197830).

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

122221010011002 is a wasteful number, since it uses less digits than its factorization.

122221010011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251027222.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122221010011002 its reverse (200110010122221), we get a palindrome (322331020133223).

The spelling of 122221010011002 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, ten million, eleven thousand, two".

Divisors: 1 2 3 6 7 14 21 42 11593 23186 34779 69558 81151 162302 243453 486906 251015617 502031234 753046851 1506093702 1757109319 3514218638 5271327957 10542655914 2910024047881 5820048095762 8730072143643 17460144287286 20370168335167 40740336670334 61110505005501 122221010011002