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102012244320030 = 235115924121740489
BaseRepresentation
bin10111001100011110010011…
…100101011101111100011110
3111101012021102201000021200020
4113030132103211131330132
5101332332034021220110
61000543440022013010
730326066340511332
oct2714362345357436
9441167381007606
10102012244320030
112a560171512910
12b5367a6277166
1344bc9373460a5
141b295c191b7c2
15bbd88c6cdd70
hex5cc79395df1e

102012244320030 has 128 divisors (see below), whose sum is σ = 272740534387200. Its totient is φ = 24210207436800.

The previous prime is 102012244319983. The next prime is 102012244320043. The reversal of 102012244320030 is 30023442210201.

It is a happy number.

It is a congruent number.

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, 6177975 + ... + 15562514.

It is an arithmetic number, because the mean of its divisors is an integer number (2130785424900).

Almost surely, 2102012244320030 is an apocalyptic number.

102012244320030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102012244320030 is an abundant number, since it is smaller than the sum of its proper divisors (170728290067170).

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

102012244320030 is a wasteful number, since it uses less digits than its factorization.

102012244320030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21740810.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102012244320030 its reverse (30023442210201), we get a palindrome (132035686530231).

The spelling of 102012244320030 in words is "one hundred two trillion, twelve billion, two hundred forty-four million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 241 295 330 354 482 590 649 723 885 1205 1298 1446 1770 1947 2410 2651 3245 3615 3894 5302 6490 7230 7953 9735 13255 14219 15906 19470 26510 28438 39765 42657 71095 79530 85314 142190 156409 213285 312818 426570 469227 782045 938454 1564090 2346135 4692270 21740489 43480978 65221467 108702445 130442934 217404890 239145379 326107335 478290758 652214670 717436137 1195726895 1282688851 1434872274 2391453790 2565377702 3587180685 3848066553 5239457849 6413444255 7174361370 7696133106 10478915698 12826888510 14109577361 15718373547 19240332765 26197289245 28219154722 31436747094 38480665530 42328732083 52394578490 57634036339 70547886805 78591867735 84657464166 115268072678 141095773610 157183735470 172902109017 211643660415 288170181695 309128013091 345804218034 423287320830 576340363390 618256026182 864510545085 927384039273 1545640065455 1729021090170 1854768078546 3091280130910 3400408144001 4636920196365 6800816288002 9273840392730 10201224432003 17002040720005 20402448864006 34004081440010 51006122160015 102012244320030