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1000102231200 = 253521034045721
BaseRepresentation
bin11101000110110101011…
…11001111110010100000
310112121102211210022022210
432203122233033302200
5112341202132344300
62043235101402120
7132153315463122
oct16433257176240
93477384708283
101000102231200
11356160700796
121419b0269340
1373403510a87
1436595c59212
151b03570c050
hexe8dabcfca0

1000102231200 has 144 divisors (see below), whose sum is σ = 3286938747456. Its totient is φ = 264104601600.

The previous prime is 1000102231181. The next prime is 1000102231217. The reversal of 1000102231200 is 21322010001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1775661 + ... + 2270060.

It is an arithmetic number, because the mean of its divisors is an integer number (22825963524).

Almost surely, 21000102231200 is an apocalyptic number.

1000102231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000102231200 is an abundant number, since it is smaller than the sum of its proper divisors (2286836516256).

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

1000102231200 is a wasteful number, since it uses less digits than its factorization.

1000102231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045847 (or 4045834 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000102231200 its reverse (21322010001), we get a palindrome (1021424241201).

The spelling of 1000102231200 in words is "one trillion, one hundred two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 103 120 150 160 200 206 240 300 309 400 412 480 515 600 618 800 824 1030 1200 1236 1545 1648 2060 2400 2472 2575 3090 3296 4120 4944 5150 6180 7725 8240 9888 10300 12360 15450 16480 20600 24720 30900 41200 49440 61800 82400 123600 247200 4045721 8091442 12137163 16182884 20228605 24274326 32365768 40457210 48548652 60685815 64731536 80914420 97097304 101143025 121371630 129463072 161828840 194194608 202286050 242743260 303429075 323657680 388389216 404572100 416709263 485486520 606858150 647315360 809144200 833418526 970973040 1213716300 1250127789 1618288400 1666837052 1941946080 2083546315 2427432600 2500255578 3236576800 3333674104 4167092630 4854865200 5000511156 6250638945 6667348208 8334185260 9709730400 10001022312 10417731575 12501277890 13334696416 16668370520 20002044624 20835463150 25002555780 31253194725 33336741040 40004089248 41670926300 50005111560 62506389450 66673482080 83341852600 100010223120 125012778900 166683705200 200020446240 250025557800 333367410400 500051115600 1000102231200