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233103320120 = 235112113426211
BaseRepresentation
bin1101100100011000001…
…0100110010000111000
3211021200101000120202202
43121012002212100320
512304343422220440
6255030341045332
722561342346246
oct3310602462070
9737611016682
10233103320120
118a949824600
12392159b6848
1318c9b602568
14b3d4749796
1560e4750615
hex36460a6438

233103320120 has 96 divisors (see below), whose sum is σ = 581600370960. Its totient is φ = 84014515200.

The previous prime is 233103320113. The next prime is 233103320159. The reversal of 233103320120 is 21023301332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233103320092 and 233103320101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333815 + ... + 760025.

Almost surely, 2233103320120 is an apocalyptic number.

233103320120 is a gapful number since it is divisible by the number (20) 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 233103320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290800185480).

233103320120 is an abundant number, since it is smaller than the sum of its proper divisors (348497050840).

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

233103320120 is a wasteful number, since it uses less digits than its factorization.

233103320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426357 (or 426342 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 233103320120 its reverse (21023301332), we get a palindrome (254126621452).

The spelling of 233103320120 in words is "two hundred thirty-three billion, one hundred three million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 113 121 220 226 242 440 452 484 565 605 904 968 1130 1210 1243 2260 2420 2486 4520 4840 4972 6215 9944 12430 13673 24860 27346 49720 54692 68365 109384 136730 273460 426211 546920 852422 1704844 2131055 3409688 4262110 4688321 8524220 9376642 17048440 18753284 23441605 37506568 46883210 48161843 51571531 93766420 96323686 103143062 187532840 192647372 206286124 240809215 257857655 385294744 412572248 481618430 515715310 529780273 963236860 1031430620 1059560546 1926473720 2062861240 2119121092 2648901365 4238242184 5297802730 5827583003 10595605460 11655166006 21191210920 23310332012 29137915015 46620664024 58275830030 116551660060 233103320120