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232103222233320 = 233537467311186711
BaseRepresentation
bin110100110001100010111110…
…000111001100100011101000
31010102210211222122000102102010
4310301202332013030203220
5220410234344342431240
62141350425344235520
766613622135020614
oct6461427607144350
91112724878012363
10232103222233320
1167a56473039929
12220471ab60bba0
139c683171c6559
144145bda816344
151bc780ddc1280
hexd318be1cc8e8

232103222233320 has 128 divisors (see below), whose sum is σ = 715281945027840. Its totient is φ = 60208484106240.

The previous prime is 232103222233307. The next prime is 232103222233391. The reversal of 232103222233320 is 23332222301232.

It is a super-4 number, since 4×2321032222333204 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15154765 + ... + 26341475.

It is an arithmetic number, because the mean of its divisors is an integer number (5588140195530).

Almost surely, 2232103222233320 is an apocalyptic number.

232103222233320 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 232103222233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357640972513920).

232103222233320 is an abundant number, since it is smaller than the sum of its proper divisors (483178722794520).

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

232103222233320 is a wasteful number, since it uses less digits than its factorization.

232103222233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191435 (or 11191431 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 232103222233320 its reverse (23332222301232), we get a palindrome (255435444534552).

The spelling of 232103222233320 in words is "two hundred thirty-two trillion, one hundred three billion, two hundred twenty-two million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 4673 9346 14019 18692 23365 28038 37384 46730 56076 70095 93460 112152 140190 172901 186920 280380 345802 518703 560760 691604 864505 1037406 1383208 1729010 2074812 2593515 3458020 4149624 5187030 6916040 10374060 11186711 20748120 22373422 33560133 44746844 55933555 67120266 89493688 111867110 134240532 167800665 223734220 268481064 335601330 413908307 447468440 671202660 827816614 1241724921 1342405320 1655633228 2069541535 2483449842 3311266456 4139083070 4966899684 6208624605 8278166140 9933799368 12417249210 16556332280 24834498420 49668996840 52275500503 104551001006 156826501509 209102002012 261377502515 313653003018 418204004024 522755005030 627306006036 784132507545 1045510010060 1254612012072 1568265015090 1934193518611 2091020020120 3136530030180 3868387037222 5802580555833 6273060060360 7736774074444 9670967593055 11605161111666 15473548148888 19341935186110 23210322223332 29012902779165 38683870372220 46420644446664 58025805558330 77367740744440 116051611116660 232103222233320