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110021023002 = 231119831935477
BaseRepresentation
bin110011001110111000…
…0111001010100011010
3101111222112222001111210
41212131300321110122
53300310340214002
6122313140203550
710643265160002
oct1463560712432
9344875861453
10110021023002
1142728aa9aa0
12193a59995b6
13a4b497ab57
145479cd7002
152cddd9b96c
hex199dc3951a

110021023002 has 128 divisors (see below), whose sum is σ = 257096125440. Its totient is φ = 31037091840.

The previous prime is 110021022949. The next prime is 110021023009. The reversal of 110021023002 is 200320120011.

It is a super-2 number, since 2×1100210230022 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110021023009) 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 63 ways as a sum of consecutive naturals, for example, 20085088 + ... + 20090564.

It is an arithmetic number, because the mean of its divisors is an integer number (2008563480).

Almost surely, 2110021023002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110021023002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128548062720).

110021023002 is an abundant number, since it is smaller than the sum of its proper divisors (147075102438).

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

110021023002 is a wasteful number, since it uses less digits than its factorization.

110021023002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 110021023002 its reverse (200320120011), we get a palindrome (310341143013).

The spelling of 110021023002 in words is "one hundred ten billion, twenty-one million, twenty-three thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 83 114 166 193 209 249 386 418 498 579 627 913 1158 1254 1577 1826 2123 2739 3154 3667 4246 4731 5477 5478 6369 7334 9462 10954 11001 12738 16019 16431 17347 22002 32038 32862 34694 40337 48057 52041 60247 80674 96114 104063 104082 120494 121011 176209 180741 208126 242022 304361 312189 352418 361482 454591 528627 608722 624378 909182 913083 1057061 1057254 1144693 1363773 1826166 2114122 2289386 2727546 3171183 3347971 3434079 5000501 6342366 6695942 6868158 8637229 10001002 10043913 11627671 15001503 17274458 20084159 20087826 23255342 25911687 30003006 34883013 40168318 51823374 60252477 69766026 87736063 95009519 120504954 175472126 190019038 220925749 263208189 285028557 441851498 526416378 570057114 662777247 965096693 1325554494 1666985197 1930193386 2895290079 3333970394 5000955591 5790580158 10001911182 18336837167 36673674334 55010511501 110021023002