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122113331020 = 225163179209263
BaseRepresentation
bin111000110111010000…
…1011000111101001100
3102200012021202221122201
41301232201120331030
54000042003043040
6132033104251244
711552040121222
oct1615641307514
9380167687581
10122113331020
1147873878a8a
121b7bb610b24
13b690c91cb5
145ca5ca2b12
15329a7a2a9a
hex1c6e858f4c

122113331020 has 48 divisors (see below), whose sum is σ = 259453877760. Its totient is φ = 48274232256.

The previous prime is 122113330991. The next prime is 122113331027. The reversal of 122113331020 is 20133311221.

It is a super-2 number, since 2×1221133310202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122113331027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 478909 + ... + 688171.

It is an arithmetic number, because the mean of its divisors is an integer number (5405289120).

Almost surely, 2122113331020 is an apocalyptic number.

122113331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122113331020 is an abundant number, since it is smaller than the sum of its proper divisors (137340546740).

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

122113331020 is a wasteful number, since it uses less digits than its factorization.

122113331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209614 (or 209612 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 122113331020 its reverse (20133311221), we get a palindrome (142246642241).

It can be divided in two parts, 1221133 and 31020, that added together give a triangular number (1252153 = T1582).

The spelling of 122113331020 in words is "one hundred twenty-two billion, one hundred thirteen million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 163 179 326 358 652 716 815 895 1630 1790 3260 3580 29177 58354 116708 145885 209263 291770 418526 583540 837052 1046315 2092630 4185260 34109869 37458077 68219738 74916154 136439476 149832308 170549345 187290385 341098690 374580770 682197380 749161540 6105666551 12211333102 24422666204 30528332755 61056665510 122113331020