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1010102100 = 223527481001
BaseRepresentation
bin111100001101001…
…110111101010100
32121101200111120220
4330031032331110
54032041231400
6244121554340
734013504040
oct7415167524
92541614526
101010102100
114791a3727
122423459b0
13131366367
149821b020
155da297a0
hex3c34ef54

1010102100 has 72 divisors (see below), whose sum is σ = 3340077888. Its totient is φ = 230880000.

The previous prime is 1010102099. The next prime is 1010102101. The reversal of 1010102100 is 12010101.

It is an interprime number because it is at equal distance from previous prime (1010102099) and next prime (1010102101).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238401 + ... + 242600.

Almost surely, 21010102100 is an apocalyptic number.

1010102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010102100 is an abundant number, since it is smaller than the sum of its proper divisors (2329975788).

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

1010102100 is a wasteful number, since it uses less digits than its factorization.

1010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481025 (or 481018 counting only the distinct ones).

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

The square root of 1010102100 is about 31782.1034546173. The cubic root of 1010102100 is about 1003.3560907215.

Adding to 1010102100 its reverse (12010101), we get a palindrome (1022112201).

The spelling of 1010102100 in words is "one billion, ten million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 481001 962002 1443003 1924004 2405005 2886006 3367007 4810010 5772012 6734014 7215015 9620020 10101021 12025025 13468028 14430030 16835035 20202042 24050050 28860060 33670070 36075075 40404084 48100100 50505105 67340140 72150150 84175175 101010210 144300300 168350350 202020420 252525525 336700700 505051050 1010102100