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2100101004 = 2232292011591
BaseRepresentation
bin111110100101100…
…1111111110001100
312102100201011222200
41331023033332030
513300111213004
6544220241500
7103020364311
oct17513177614
95370634880
102100101004
119884a7a71
124a73a0290
13276124b21
1415ccb4d08
15c4587239
hex7d2cff8c

2100101004 has 36 divisors (see below), whose sum is σ = 5491646160. Its totient is φ = 675894240.

The previous prime is 2100100993. The next prime is 2100101009. The reversal of 2100101004 is 4001010012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2100101009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1004752 + ... + 1006839.

Almost surely, 22100101004 is an apocalyptic number.

It is an amenable number.

2100101004 is an abundant number, since it is smaller than the sum of its proper divisors (3391545156).

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

2100101004 is a wasteful number, since it uses less digits than its factorization.

2100101004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011630 (or 2011625 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100101004 is about 45826.8589802967. The cubic root of 2100101004 is about 1280.5996953914.

Adding to 2100101004 its reverse (4001010012), we get a palindrome (6101111016).

The spelling of 2100101004 in words is "two billion, one hundred million, one hundred one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2011591 4023182 6034773 8046364 12069546 18104319 24139092 36208638 58336139 72417276 116672278 175008417 233344556 350016834 525025251 700033668 1050050502 2100101004