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2131210004 = 2271116342451
BaseRepresentation
bin111111100000111…
…1010111100010100
312111112020200111212
41333001322330110
513331042210004
6551251120552
7103545662150
oct17701727424
95445220455
102131210004
119a4015690
124b58a3158
1327c6c7811
14163092060
15c717e96e
hex7f07af14

2131210004 has 48 divisors (see below), whose sum is σ = 4678550016. Its totient is φ = 825228000.

The previous prime is 2131209973. The next prime is 2131210013. The reversal of 2131210004 is 4000121312.

It is a super-2 number, since 2×21312100042 = 9084112162299360032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 28979 + ... + 71429.

It is an arithmetic number, because the mean of its divisors is an integer number (97469792).

Almost surely, 22131210004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131210004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339275008).

2131210004 is an abundant number, since it is smaller than the sum of its proper divisors (2547340012).

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

2131210004 is a wasteful number, since it uses less digits than its factorization.

2131210004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42636 (or 42634 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2131210004 is about 46165.0300985497. The cubic root of 2131210004 is about 1286.8919435463.

Adding to 2131210004 its reverse (4000121312), we get a palindrome (6131331316).

The spelling of 2131210004 in words is "two billion, one hundred thirty-one million, two hundred ten thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 163 308 326 652 1141 1793 2282 3586 4564 7172 12551 25102 42451 50204 84902 169804 297157 466961 594314 933922 1188628 1867844 3268727 6537454 6919513 13074908 13839026 27678052 48436591 76114643 96873182 152229286 193746364 304458572 532802501 1065605002 2131210004