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10212112021200 = 2435237230002523
BaseRepresentation
bin1001010010011011000101…
…0011110011011011010000
31100011021020122102100212120
42110212301103303123100
52314303401134134300
633415213545454240
72102541440645415
oct224466123633320
940137218370776
1010212112021200
113287a29008aa1
12118b2137a1380
13590cc88a153b
142743a9a6c10c
1512a9918b43a0
hex949b14f36d0

10212112021200 has 120 divisors (see below), whose sum is σ = 33596928685728. Its totient is φ = 2649629053440.

The previous prime is 10212112021183. The next prime is 10212112021213. The reversal of 10212112021200 is 212021121201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212112021200.

It is a congruent number.

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, 114956862 + ... + 115045661.

Almost surely, 210212112021200 is an apocalyptic number.

10212112021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212112021200 is an abundant number, since it is smaller than the sum of its proper divisors (23384816664528).

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

10212112021200 is a wasteful number, since it uses less digits than its factorization.

10212112021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230002581 (or 230002570 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10212112021200 its reverse (212021121201), we get a palindrome (10424133142401).

The spelling of 10212112021200 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 230002523 460005046 690007569 920010092 1150012615 1380015138 1840020184 2300025230 2760030276 3450037845 3680040368 4600050460 5520060552 5750063075 6900075690 8510093351 9200100920 11040121104 11500126150 13800151380 17020186702 17250189225 18400201840 23000252300 25530280053 27600302760 34040373404 34500378450 42550466755 46000504600 51060560106 55200605520 68080746808 69000756900 85100933510 92001009200 102121120212 127651400265 136161493616 138001513800 170201867020 204242240424 212752333775 255302800530 276003027600 340403734040 408484480848 425504667550 510605601060 638257001325 680807468080 851009335100 1021211202120 1276514002650 1702018670200 2042422404240 2553028005300 3404037340400 5106056010600 10212112021200