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232111330203330 = 23256755016997411
BaseRepresentation
bin110100110001101010100001…
…011000101001011011000010
31010102211121220200120222022200
4310301222201120221123002
5220410403001013001310
62141354250102214030
766614330066436264
oct6461524130513302
91112747820528280
10232111330203330
1167a59953851796
1222048892a24316
139c69009c10a46
144146369587b34
151bc7b35ae79c0
hexd31aa16296c2

232111330203330 has 96 divisors (see below), whose sum is σ = 612608194231488. Its totient is φ = 60961435920000.

The previous prime is 232111330203329. The next prime is 232111330203331. The reversal of 232111330203330 is 33302033111232.

232111330203330 is a `hidden beast` number, since 2 + 3 + 2 + 11 + 13 + 302 + 0 + 3 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (232111330203329) and next prime (232111330203331).

It is a junction number, because it is equal to n+sod(n) for n = 232111330203294 and 232111330203303.

It is not an unprimeable number, because it can be changed into a prime (232111330203331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29672325 + ... + 36669735.

It is an arithmetic number, because the mean of its divisors is an integer number (6381335356578).

Almost surely, 2232111330203330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232111330203330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306304097115744).

232111330203330 is an abundant number, since it is smaller than the sum of its proper divisors (380496864028158).

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

232111330203330 is a wasteful number, since it uses less digits than its factorization.

232111330203330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002992 (or 7002989 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 232111330203330 its reverse (33302033111232), we get a palindrome (265413363314562).

The spelling of 232111330203330 in words is "two hundred thirty-two trillion, one hundred eleven billion, three hundred thirty million, two hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 5501 6030 11002 16503 27505 33006 49509 55010 82515 99018 165030 247545 368567 495090 737134 1105701 1842835 2211402 3317103 3685670 5528505 6634206 6997411 11057010 13994822 16585515 20992233 33171030 34987055 41984466 62976699 69974110 104961165 125953398 209922330 314883495 468826537 629766990 937653074 1406479611 2344132685 2812959222 4219438833 4688265370 7032398055 8438877666 14064796110 21097194165 38492757911 42194388330 76985515822 115478273733 192463789555 230956547466 346434821199 384927579110 577391368665 692869642398 1154782737330 1732174105995 2579014780037 3464348211990 5158029560074 7737044340111 12895073900185 15474088680222 23211133020333 25790147800370 38685221700555 46422266040666 77370443401110 116055665101665 232111330203330