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13011023103228 = 2233413167927803
BaseRepresentation
bin1011110101010101110101…
…1010010000010011111100
31201001211201120102012012000
42331111131122100103330
53201133033403300403
643401103111542300
72512005165416523
oct275253532202374
951054646365160
1013011023103228
114166a42388367
12156175938a990
13734c1b6117c7
1432da45dcb4ba
151786a728b7a3
hexbd55d6904fc

13011023103228 has 96 divisors (see below), whose sum is σ = 34565968926720. Its totient is φ = 4229886430080.

The previous prime is 13011023103167. The next prime is 13011023103229. The reversal of 13011023103228 is 82230132011031.

13011023103228 is a `hidden beast` number, since 1 + 301 + 1 + 0 + 2 + 31 + 0 + 322 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011023103229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13559575 + ... + 14487377.

It is an arithmetic number, because the mean of its divisors is an integer number (360062176320).

Almost surely, 213011023103228 is an apocalyptic number.

13011023103228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011023103228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282984463360).

13011023103228 is an abundant number, since it is smaller than the sum of its proper divisors (21554945823492).

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

13011023103228 is a wasteful number, since it uses less digits than its factorization.

13011023103228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931024 (or 931016 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13011023103228 its reverse (82230132011031), we get a palindrome (95241155114259).

The spelling of 13011023103228 in words is "thirteen trillion, eleven billion, twenty-three million, one hundred three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 3167 4428 6334 9501 12668 19002 28503 38004 57006 85509 114012 129847 171018 259694 342036 389541 519388 779082 927803 1168623 1558164 1855606 2337246 2783409 3505869 3711212 4674492 5566818 7011738 8350227 11133636 14023476 16700454 25050681 33400908 38039923 50101362 76079846 100202724 114119769 152159692 228239538 342359307 456479076 684718614 1027077921 1369437228 2054155842 2938352101 4108311684 5876704202 8815056303 11753408404 17630112606 26445168909 35260225212 52890337818 79335506727 105780675636 120472436141 158671013454 240944872282 317342026908 361417308423 481889744564 722834616846 1084251925269 1445669233692 2168503850538 3252755775807 4337007701076 6505511551614 13011023103228