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103320321233112 = 23321924798298709
BaseRepresentation
bin10111011111100000100011…
…000010111001000011011000
3111112211022210211111102201100
4113133200203002321003120
5102020300004213424422
61003424411133551400
730522434610021414
oct2737404302710330
9445738724442640
10103320321233112
112aa149a1865385
12b708206645560
1345860ab8a2929
141b72a31a71d44
15be28ea7437ac
hex5df8230b90d8

103320321233112 has 144 divisors (see below), whose sum is σ = 295945276536000. Its totient is φ = 32559350136192.

The previous prime is 103320321233081. The next prime is 103320321233153. The reversal of 103320321233112 is 211332123023301.

103320321233112 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 0 + 321 + 2 + 331 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8300814 + ... + 16599522.

It is an arithmetic number, because the mean of its divisors is an integer number (2055175531500).

Almost surely, 2103320321233112 is an apocalyptic number.

103320321233112 is a gapful number since it is divisible by the number (12) 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 103320321233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147972638268000).

103320321233112 is an abundant number, since it is smaller than the sum of its proper divisors (192624955302888).

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

103320321233112 is a wasteful number, since it uses less digits than its factorization.

103320321233112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8299238 (or 8299212 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103320321233112 its reverse (211332123023301), we get a palindrome (314652444256413).

The spelling of 103320321233112 in words is "one hundred three trillion, three hundred twenty billion, three hundred twenty-one million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 479 684 722 958 1083 1368 1437 1444 1916 2166 2874 2888 3249 3832 4311 4332 5748 6498 8622 8664 9101 11496 12996 17244 18202 25992 27303 34488 36404 54606 72808 81909 109212 163818 172919 218424 327636 345838 518757 655272 691676 1037514 1383352 1556271 2075028 3112542 4150056 6225084 8298709 12450168 16597418 24896127 33194836 49792254 66389672 74688381 99584508 149376762 157675471 199169016 298753524 315350942 473026413 597507048 630701884 946052826 1261403768 1419079239 1892105652 2838158478 2995833949 3784211304 3975081611 5676316956 5991667898 7950163222 8987501847 11352633912 11925244833 11983335796 15900326444 17975003694 23850489666 23966671592 26962505541 31800652888 35775734499 35950007388 47700979332 53925011082 71551468998 71900014776 75526550609 95401958664 107850022164 143102937996 151053101218 215700044328 226579651827 286205875992 302106202436 453159303654 604212404872 679738955481 906318607308 1359477910962 1435004461571 1812637214616 2718955821924 2870008923142 4305013384713 5437911643848 5740017846284 8610026769426 11480035692568 12915040154139 17220053538852 25830080308278 34440107077704 51660160616556 103320321233112