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1020012112200 = 233524141463907
BaseRepresentation
bin11101101011111010111…
…01011010100101001000
310121111211101202001112210
432311331131122211020
5113202441100042300
62100330451305120
7133456564620324
oct16657535324510
93544741661483
101020012112200
11363648277aa4
12145827bab1a0
1375257324553
14375241a2984
151b7ed5c6050
hexed7d75a948

1020012112200 has 96 divisors (see below), whose sum is σ = 3239160492960. Its totient is φ = 265368998400.

The previous prime is 1020012112199. The next prime is 1020012112201. The reversal of 1020012112200 is 22112100201.

It is an interprime number because it is at equal distance from previous prime (1020012112199) and next prime (1020012112201).

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

It is not an unprimeable number, because it can be changed into a prime (1020012112201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20707354 + ... + 20756553.

It is an arithmetic number, because the mean of its divisors is an integer number (33741255135).

Almost surely, 21020012112200 is an apocalyptic number.

1020012112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020012112200 is an abundant number, since it is smaller than the sum of its proper divisors (2219148380760).

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

1020012112200 is a wasteful number, since it uses less digits than its factorization.

1020012112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41463967 (or 41463958 counting only the distinct ones).

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

Adding to 1020012112200 its reverse (22112100201), we get a palindrome (1042124212401).

The spelling of 1020012112200 in words is "one trillion, twenty billion, twelve million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 41463907 82927814 124391721 165855628 207319535 248783442 331711256 414639070 497566884 621958605 829278140 995133768 1036597675 1243917210 1658556280 1700020187 2073195350 2487834420 3109793025 3400040374 4146390700 4975668840 5100060561 6219586050 6800080748 8292781400 8500100935 10200121122 12439172100 13600161496 17000201870 20400242244 24878344200 25500302805 34000403740 40800484488 42500504675 51000605610 68000807480 85001009350 102001211220 127501514025 170002018700 204002422440 255003028050 340004037400 510006056100 1020012112200