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12042302190 = 235617192683
BaseRepresentation
bin10110011011100011…
…01111001011101110
31011002020201100001020
423031301233023232
5144130312132230
65310540155010
7604263610512
oct131561571356
934066640036
1012042302190
11511a624966
122400b38a66
13119bb561c9
148234b0142
154a7329810
hex2cdc6f2ee

12042302190 has 64 divisors (see below), whose sum is σ = 29789379072. Its totient is φ = 3114115200.

The previous prime is 12042302183. The next prime is 12042302231. The reversal of 12042302190 is 9120324021.

It is a super-2 number, since 2×120423021902 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12042302190.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83589 + ... + 176271.

It is an arithmetic number, because the mean of its divisors is an integer number (465459048).

Almost surely, 212042302190 is an apocalyptic number.

12042302190 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 12042302190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894689536).

12042302190 is an abundant number, since it is smaller than the sum of its proper divisors (17747076882).

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

12042302190 is a wasteful number, since it uses less digits than its factorization.

12042302190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92825.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 12042302190 in words is "twelve billion, forty-two million, three hundred two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 61 71 122 142 183 213 305 355 366 426 610 710 915 1065 1830 2130 4331 8662 12993 21655 25986 43310 64965 92683 129930 185366 278049 463415 556098 926830 1390245 2780490 5653663 6580493 11307326 13160986 16960989 19741479 28268315 32902465 33921978 39482958 56536630 65804930 84804945 98707395 169609890 197414790 401410073 802820146 1204230219 2007050365 2408460438 4014100730 6021151095 12042302190