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100013232330 = 23351141821329
BaseRepresentation
bin101110100100101000…
…0001101000011001010
3100120011002112121121000
41131021100031003022
53114311341413310
6113540114355430
710140264306504
oct1351120150312
9316132477530
10100013232330
1139462953810
121747228bb76
13957b49361b
144baab06d74
1529054a04c0
hex174940d0ca

100013232330 has 128 divisors (see below), whose sum is σ = 298044230400. Its totient is φ = 23654246400.

The previous prime is 100013232301. The next prime is 100013232373. The reversal of 100013232330 is 33232310001.

100013232330 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 323 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288895 + ... + 532434.

It is an arithmetic number, because the mean of its divisors is an integer number (2328470550).

Almost surely, 2100013232330 is an apocalyptic number.

100013232330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100013232330 is an abundant number, since it is smaller than the sum of its proper divisors (198030998070).

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

100013232330 is a wasteful number, since it uses less digits than its factorization.

100013232330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821397 (or 821391 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100013232330 its reverse (33232310001), we get a palindrome (133245542331).

It can be divided in two parts, 10001 and 3232330, that added together give a triangular number (3242331 = T2546).

The spelling of 100013232330 in words is "one hundred billion, thirteen million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 82 90 99 110 123 135 165 198 205 246 270 297 330 369 410 451 495 594 615 738 902 990 1107 1230 1353 1485 1845 2214 2255 2706 2970 3690 4059 4510 5535 6765 8118 11070 12177 13530 20295 24354 40590 60885 121770 821329 1642658 2463987 4106645 4927974 7391961 8213290 9034619 12319935 14783922 18069238 22175883 24639870 27103857 33674489 36959805 44351766 45173095 54207714 67348978 73919610 81311571 90346190 101023467 110879415 135519285 162623142 168372445 202046934 221758830 243934713 271038570 303070401 336744890 370419379 406557855 487869426 505117335 606140802 740838758 813115710 909211203 1010234670 1111258137 1219673565 1515352005 1818422406 1852096895 2222516274 2439347130 3030704010 3333774411 3704193790 4546056015 5556290685 6667548822 9092112030 10001323233 11112581370 16668872055 20002646466 33337744110 50006616165 100013232330