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211120200120 = 233519891040411
BaseRepresentation
bin1100010010011110111…
…1101001100110111000
3202011221022220101022010
43010213233221212320
511424333232400440
6240553130325520
721152520043344
oct3044757514670
9664838811263
10211120200120
1181598938135
1234abb8898a0
1316ba711084b
14a30ad20624
155759858580
hex3127be99b8

211120200120 has 128 divisors (see below), whose sum is σ = 674186976000. Its totient is φ = 52736302080.

The previous prime is 211120200089. The next prime is 211120200169. The reversal of 211120200120 is 21002021112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211120200096 and 211120200105.

It is a congruent number.

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, 317286 + ... + 723125.

It is an arithmetic number, because the mean of its divisors is an integer number (5267085750).

Almost surely, 2211120200120 is an apocalyptic number.

211120200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120200120 is an abundant number, since it is smaller than the sum of its proper divisors (463066775880).

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

211120200120 is a wasteful number, since it uses less digits than its factorization.

211120200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040533 (or 1040529 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211120200120 its reverse (21002021112), we get a palindrome (232122221232).

The spelling of 211120200120 in words is "two hundred eleven billion, one hundred twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 89 95 114 120 152 178 190 228 267 285 356 380 445 456 534 570 712 760 890 1068 1140 1335 1691 1780 2136 2280 2670 3382 3560 5073 5340 6764 8455 10146 10680 13528 16910 20292 25365 33820 40584 50730 67640 101460 202920 1040411 2080822 3121233 4161644 5202055 6242466 8323288 10404110 12484932 15606165 19767809 20808220 24969864 31212330 39535618 41616440 59303427 62424660 79071236 92596579 98839045 118606854 124849320 158142472 185193158 197678090 237213708 277789737 296517135 370386316 395356180 462982895 474427416 555579474 593034270 740772632 790712360 925965790 1111158948 1186068540 1388948685 1759335001 1851931580 2222317896 2372137080 2777897370 3518670002 3703863160 5278005003 5555794740 7037340004 8796675005 10556010006 11111589480 14074680008 17593350010 21112020012 26390025015 35186700020 42224040024 52780050030 70373400040 105560100060 211120200120