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1010010120 = 233571770729
BaseRepresentation
bin111100001100111…
…000100000001000
32121101111211102020
4330030320200020
54032030310440
6244120004440
734012641630
oct7414704010
92541454366
101010010120
11479140609
12242300720
13131333532
14981d56c0
155da0c3d0
hex3c338808

1010010120 has 128 divisors (see below), whose sum is σ = 3666643200. Its totient is φ = 217276416.

The previous prime is 1010010091. The next prime is 1010010143. The reversal of 1010010120 is 210100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1010010099 and 1010010108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21085 + ... + 49644.

It is an arithmetic number, because the mean of its divisors is an integer number (28645650).

Almost surely, 21010010120 is an apocalyptic number.

1010010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010010120 is an abundant number, since it is smaller than the sum of its proper divisors (2656633080).

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

1010010120 is a wasteful number, since it uses less digits than its factorization.

1010010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70767 (or 70763 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1010010120 is about 31780.6563808868. The cubic root of 1010010120 is about 1003.3256345611.

Adding to 1010010120 its reverse (210100101), we get a palindrome (1220110221).

The spelling of 1010010120 in words is "one billion, ten million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 70729 141458 212187 282916 353645 424374 495103 565832 707290 848748 990206 1060935 1202393 1414580 1485309 1697496 1980412 2121870 2404786 2475515 2829160 2970618 3607179 3960824 4243740 4809572 4951030 5941236 6011965 7214358 7426545 8416751 8487480 9619144 9902060 11882472 12023930 14428716 14853090 16833502 18035895 19804120 24047860 25250253 28857432 29706180 33667004 36071790 42083755 48095720 50500506 59412360 67334008 72143580 84167510 101001012 126251265 144287160 168335020 202002024 252502530 336670040 505005060 1010010120