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30012115122 = 232112774611187
BaseRepresentation
bin11011111100110111…
…001000100010110010
32212110121002102012100
4123330313020202302
5442431100140442
621442023441230
72111504524623
oct337467104262
985417072170
1030012115122
1111801069330
125996bb6216
132aa3a47602
141649cbda4a
15ba9c1d84c
hex6fcdc88b2

30012115122 has 96 divisors (see below), whose sum is σ = 71408361024. Its totient is φ = 9034473600.

The previous prime is 30012115121. The next prime is 30012115123. The reversal of 30012115122 is 22151121003.

30012115122 is a `hidden beast` number, since 30 + 0 + 121 + 1 + 512 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30012115121) and next prime (30012115123).

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

It is a junction number, because it is equal to n+sod(n) for n = 30012115095 and 30012115104.

It is not an unprimeable number, because it can be changed into a prime (30012115121) 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 47 ways as a sum of consecutive naturals, for example, 25283413 + ... + 25284599.

It is an arithmetic number, because the mean of its divisors is an integer number (743837094).

Almost surely, 230012115122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30012115122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35704180512).

30012115122 is an abundant number, since it is smaller than the sum of its proper divisors (41396245902).

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

30012115122 is a wasteful number, since it uses less digits than its factorization.

30012115122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 30012115122 its reverse (22151121003), we get a palindrome (52163236125).

The spelling of 30012115122 in words is "thirty billion, twelve million, one hundred fifteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 277 461 554 831 922 1187 1383 1662 2374 2493 2766 3047 3561 4149 4986 5071 6094 7122 8298 9141 10142 10683 13057 15213 18282 21366 26114 27423 30426 39171 45639 54846 78342 91278 117513 127697 235026 255394 328799 383091 547207 657598 766182 986397 1094414 1149273 1404667 1641621 1972794 2298546 2809334 2959191 3283242 3616789 4214001 4924863 5918382 6019277 7233578 8428002 9849726 10850367 12038554 12642003 18057831 21700734 25284006 32551101 36115662 54173493 65102202 108346986 151576339 303152678 454729017 909458034 1364187051 1667339729 2728374102 3334679458 5002019187 10004038374 15006057561 30012115122