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211021220010120 = 233513343513937877
BaseRepresentation
bin101111111110110000110100…
…110110111101100010001000
31000200011102122122110221101120
4233332300310312331202020
5210124332424310310440
62024445450555315240
762306531356563642
oct5776606466754210
91020142578427346
10211021220010120
1161268662424a03
121b8013ab74bb20
1390992a5a69c30
143a176a54dd892
15195e22d653dd0
hexbfec34dbd888

211021220010120 has 128 divisors (see below), whose sum is σ = 681780884682240. Its totient is φ = 51942159590400.

The previous prime is 211021220010119. The next prime is 211021220010131. The reversal of 211021220010120 is 21010022120112.

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 211021220010120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51618622 + ... + 55556498.

It is an arithmetic number, because the mean of its divisors is an integer number (5326413161580).

Almost surely, 2211021220010120 is an apocalyptic number.

211021220010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211021220010120 is an abundant number, since it is smaller than the sum of its proper divisors (470759664672120).

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

211021220010120 is a wasteful number, since it uses less digits than its factorization.

211021220010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972255 (or 3972251 counting only the distinct ones).

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

Adding to 211021220010120 its reverse (21010022120112), we get a palindrome (232031242130232).

The spelling of 211021220010120 in words is "two hundred eleven trillion, twenty-one billion, two hundred twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 34351 68702 103053 137404 171755 206106 274808 343510 412212 446563 515265 687020 824424 893126 1030530 1339689 1374040 1786252 2061060 2232815 2679378 3572504 3937877 4122120 4465630 5358756 6698445 7875754 8931260 10717512 11813631 13396890 15751508 17862520 19689385 23627262 26793780 31503016 39378770 47254524 51192401 53587560 59068155 78757540 94509048 102384802 118136310 153577203 157515080 204769604 236272620 255962005 307154406 409539208 472545240 511924010 614308812 767886015 1023848020 1228617624 1535772030 2047696040 3071544060 6143088120 135270012827 270540025654 405810038481 541080051308 676350064135 811620076962 1082160102616 1352700128270 1623240153924 1758510166751 2029050192405 2705400256540 3246480307848 3517020333502 4058100384810 5275530500253 5410800513080 7034040667004 8116200769620 8792550833755 10551061000506 14068081334008 16232401539240 17585101667510 21102122001012 26377652501265 35170203335020 42204244002024 52755305002530 70340406670040 105510610005060 211021220010120