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231430033040520 = 233543352712716411
BaseRepresentation
bin110100100111110000000000…
…111010001110010010001000
31010100102111100220210010222110
4310213300000322032102020
5220313222201424244040
62140113253415422320
766514160651214006
oct6447600072162210
91110374326703873
10231430033040520
1167816a20312536
1221b588359849a0
139c199b2497c92
1441213b8185a76
151bb505d97b980
hexd27c00e8e488

231430033040520 has 128 divisors (see below), whose sum is σ = 710637864330240. Its totient is φ = 60262354871040.

The previous prime is 231430033040513. The next prime is 231430033040537. The reversal of 231430033040520 is 25040330034132.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11841115 + ... + 24557525.

It is an arithmetic number, because the mean of its divisors is an integer number (5551858315080).

Almost surely, 2231430033040520 is an apocalyptic number.

231430033040520 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 231430033040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355318932165120).

231430033040520 is an abundant number, since it is smaller than the sum of its proper divisors (479207831289720).

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

231430033040520 is a wasteful number, since it uses less digits than its factorization.

231430033040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12719995 (or 12719991 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 231430033040520 its reverse (25040330034132), we get a palindrome (256470363074652).

The spelling of 231430033040520 in words is "two hundred thirty-one trillion, four hundred thirty billion, thirty-three million, forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 3527 5160 7054 10581 14108 17635 21162 28216 35270 42324 52905 70540 84648 105810 141080 151661 211620 303322 423240 454983 606644 758305 909966 1213288 1516610 1819932 2274915 3033220 3639864 4549830 6066440 9099660 12716411 18199320 25432822 38149233 50865644 63582055 76298466 101731288 127164110 152596932 190746165 254328220 305193864 381492330 508656440 546805673 762984660 1093611346 1525969320 1640417019 2187222692 2734028365 3280834038 4374445384 5468056730 6561668076 8202085095 10936113460 13123336152 16404170190 21872226920 32808340380 44850781597 65616680760 89701563194 134552344791 179403126388 224253907985 269104689582 358806252776 448507815970 538209379164 672761723955 897015631940 1076418758328 1345523447910 1794031263880 1928583608671 2691046895820 3857167217342 5382093791640 5785750826013 7714334434684 9642918043355 11571501652026 15428668869368 19285836086710 23143003304052 28928754130065 38571672173420 46286006608104 57857508260130 77143344346840 115715016520260 231430033040520