Search a number
-
+
10311287023920 = 2435252371702409
BaseRepresentation
bin1001011000001100100010…
…0110011010100100110000
31100111202020022200111121110
42112003020212122210300
52322420003434231140
633532535002153320
72112652206366141
oct226031046324460
940452208614543
1010311287023920
113315aa078a463
1211a64911b2840
1359a4724b81bc
142790d72d7ac8
1512d34848a380
hex960c899a930

10311287023920 has 80 divisors (see below), whose sum is σ = 31966275143520. Its totient is φ = 2749565970432.

The previous prime is 10311287023897. The next prime is 10311287023957. The reversal of 10311287023920 is 2932078211301.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5205676 + ... + 6908084.

It is an arithmetic number, because the mean of its divisors is an integer number (399578439294).

Almost surely, 210311287023920 is an apocalyptic number.

10311287023920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311287023920 is an abundant number, since it is smaller than the sum of its proper divisors (21654988119600).

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

10311287023920 is a wasteful number, since it uses less digits than its factorization.

10311287023920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727662 (or 1727656 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 10311287023920 in words is "ten trillion, three hundred eleven billion, two hundred eighty-seven million, twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 25237 50474 75711 100948 126185 151422 201896 252370 302844 378555 403792 504740 605688 757110 1009480 1211376 1514220 1702409 2018960 3028440 3404818 5107227 6056880 6809636 8512045 10214454 13619272 17024090 20428908 25536135 27238544 34048180 40857816 51072270 68096360 81715632 102144540 136192720 204289080 408578160 42963695933 85927391866 128891087799 171854783732 214818479665 257782175598 343709567464 429636959330 515564351196 644455438995 687419134928 859273918660 1031128702392 1288910877990 1718547837320 2062257404784 2577821755980 3437095674640 5155643511960 10311287023920