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102112210001200 = 24527231585593323
BaseRepresentation
bin10111001101111011011010…
…000000010001110100110000
3111101112211110111002001100011
4113031323122000101310300
5101341001301230014300
61001101411321304304
730336235520003050
oct2715733200216460
9441484414061304
10102112210001200
112a5995aa538743
12b552044635094
1344c91a89cab19
141b303861a7560
15bc128d8d9eba
hex5cdeda011d30

102112210001200 has 120 divisors (see below), whose sum is σ = 292560995397888. Its totient is φ = 33487730960640.

The previous prime is 102112210001189. The next prime is 102112210001209. The reversal of 102112210001200 is 2100012211201.

It is not an unprimeable number, because it can be changed into a prime (102112210001209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792732262 + ... + 792861061.

Almost surely, 2102112210001200 is an apocalyptic number.

102112210001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112210001200 is an abundant number, since it is smaller than the sum of its proper divisors (190448785396688).

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

102112210001200 is a wasteful number, since it uses less digits than its factorization.

102112210001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585593371 (or 1585593360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112210001200 its reverse (2100012211201), we get a palindrome (104212222212401).

The spelling of 102112210001200 in words is "one hundred two trillion, one hundred twelve billion, two hundred ten million, one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 140 161 175 184 200 230 280 322 350 368 400 460 560 575 644 700 805 920 1150 1288 1400 1610 1840 2300 2576 2800 3220 4025 4600 6440 8050 9200 12880 16100 32200 64400 1585593323 3171186646 6342373292 7927966615 11099153261 12684746584 15855933230 22198306522 25369493168 31711866460 36468646429 39639833075 44396613044 55495766305 63423732920 72937292858 79279666150 88793226088 110991532610 126847465840 145874585716 158559332300 177586452176 182343232145 221983065220 255280525003 277478831525 291749171432 317118664600 364686464290 443966130440 510561050006 554957663050 583498342864 634237329200 729372928580 887932260880 911716160725 1021122100012 1109915326100 1276402625015 1458745857160 1823432321450 2042244200024 2219830652200 2552805250030 2917491714320 3646864642900 4084488400048 4439661304400 5105610500060 6382013125075 7293729285800 10211221000120 12764026250150 14587458571600 20422442000240 25528052500300 51056105000600 102112210001200