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122150133030 = 23519641334319
BaseRepresentation
bin111000111000010110…
…1110001110100100110
3102200021212000200112010
41301300231301310212
54000130413224110
6132040501135050
711552664666552
oct1616055616446
9380255020463
10122150133030
1147892624972
121b80b9ba486
13b6987a9033
145caab22862
15329db22020
hex1c70b71d26

122150133030 has 64 divisors (see below), whose sum is σ = 309072153600. Its totient is φ = 30810746880.

The previous prime is 122150133019. The next prime is 122150133041. The reversal of 122150133030 is 30331051221.

It is an interprime number because it is at equal distance from previous prime (122150133019) and next prime (122150133041).

It is a junction number, because it is equal to n+sod(n) for n = 122150132988 and 122150133006.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 198211 + ... + 532529.

It is an arithmetic number, because the mean of its divisors is an integer number (4829252400).

Almost surely, 2122150133030 is an apocalyptic number.

122150133030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122150133030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154536076800).

122150133030 is an abundant number, since it is smaller than the sum of its proper divisors (186922020570).

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

122150133030 is a wasteful number, since it uses less digits than its factorization.

122150133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334989.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 122150133030 its reverse (30331051221), we get a palindrome (152481184251).

The spelling of 122150133030 in words is "one hundred twenty-two billion, one hundred fifty million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 641 1282 1923 3205 3846 6410 9615 12179 19230 24358 36537 60895 73074 121790 182685 334319 365370 668638 1002957 1671595 2005914 3343190 5014785 6352061 10029570 12704122 19056183 31760305 38112366 63520610 95280915 190561830 214298479 428596958 642895437 1071492395 1285790874 2142984790 3214477185 4071671101 6428954370 8143342202 12215013303 20358355505 24430026606 40716711010 61075066515 122150133030