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1012326251300 = 2252713953116731
BaseRepresentation
bin11101011101100110101…
…10001011101100100100
310120202222202102212110222
432232303112023230210
5113041221010020200
62053020052503512
7133065250105520
oct16566326135444
93522882385428
101012326251300
11360363860a41
1214424201ab98
1374600bbca70
1436dd550cd80
151b4ed97dd85
hexebb358bb24

1012326251300 has 144 divisors (see below), whose sum is σ = 2706550019712. Its totient is φ = 320045644800.

The previous prime is 1012326251263. The next prime is 1012326251369. The reversal of 1012326251300 is 31526232101.

It is a happy number.

It is a super-2 number, since 2×10123262513002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1012326251300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8613935 + ... + 8730665.

It is an arithmetic number, because the mean of its divisors is an integer number (18795486248).

Almost surely, 21012326251300 is an apocalyptic number.

1012326251300 is a gapful number since it is divisible by the number (10) 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 1012326251300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353275009856).

1012326251300 is an abundant number, since it is smaller than the sum of its proper divisors (1694223768412).

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

1012326251300 is a wasteful number, since it uses less digits than its factorization.

1012326251300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117718 (or 117711 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 1012326251300 in words is "one trillion, twelve billion, three hundred twenty-six million, two hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 953 1300 1820 1906 2275 3812 4550 4765 6671 9100 9530 12389 13342 19060 23825 24778 26684 33355 47650 49556 61945 66710 86723 95300 116731 123890 133420 166775 173446 233462 247780 309725 333550 346892 433615 466924 583655 619450 667100 817117 867230 1167310 1238900 1517503 1634234 1734460 2168075 2334620 2918275 3035006 3268468 4085585 4336150 5836550 6070012 7587515 8171170 8672300 10622521 11673100 15175030 16342340 20427925 21245042 30350060 37937575 40855850 42490084 53112605 75875150 81711700 106225210 111244643 151750300 212450420 222489286 265563025 444978572 531126050 556223215 778712501 1062252100 1112446430 1446180359 1557425002 2224892860 2781116075 2892360718 3114850004 3893562505 5562232150 5784721436 7230901795 7787125010 10123262513 11124464300 14461803590 15574250020 19467812525 20246525026 28923607180 36154508975 38935625050 40493050052 50616312565 72309017950 77871250100 101232625130 144618035900 202465250260 253081562825 506163125650 1012326251300