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1001010120 = 233511758341
BaseRepresentation
bin111011101010100…
…011001111001000
32120202120120201220
4323222203033020
54022224310440
6243155042040
733543305565
oct7352431710
92522516656
101001010120
114740537a0
1223b2a0320
1312c501ba6
1496d3186c
155cd308d0
hex3baa33c8

1001010120 has 64 divisors (see below), whose sum is σ = 3276037440. Its totient is φ = 242668800.

The previous prime is 1001010113. The next prime is 1001010137. The reversal of 1001010120 is 210101001.

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 = 1001010099 and 1001010108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377851 + ... + 380490.

It is an arithmetic number, because the mean of its divisors is an integer number (51188085).

Almost surely, 21001010120 is an apocalyptic number.

1001010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001010120 is an abundant number, since it is smaller than the sum of its proper divisors (2275027320).

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

1001010120 is a wasteful number, since it uses less digits than its factorization.

1001010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758366 (or 758362 counting only the distinct ones).

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

The square root of 1001010120 is about 31638.7439700125. The cubic root of 1001010120 is about 1000.3365933589.

Adding to 1001010120 its reverse (210101001), we get a palindrome (1211111121).

The spelling of 1001010120 in words is "one billion, one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 758341 1516682 2275023 3033364 3791705 4550046 6066728 7583410 8341751 9100092 11375115 15166820 16683502 18200184 22750230 25025253 30333640 33367004 41708755 45500460 50050506 66734008 83417510 91000920 100101012 125126265 166835020 200202024 250252530 333670040 500505060 1001010120