Search a number
-
+
3132022002100 = 225237846492433
BaseRepresentation
bin101101100100111011000…
…011110001000110110100
3102002102021222221212111121
4231210323003301012310
5402303340113031400
610354455301113324
7442165265521225
oct55447303610664
912072258855447
103132022002100
11aa831284aa22
1242700b9b8844
1319946b5b3584
14ab83ab4724c
155670ed6421a
hex2d93b0f11b4

3132022002100 has 36 divisors (see below), whose sum is σ = 6980176610764. Its totient is φ = 1218949102080.

The previous prime is 3132022002041. The next prime is 3132022002113. The reversal of 3132022002100 is 12002202313.

3132022002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 610189073316 + 2521832928784 = 781146^2 + 1588028^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423242517 + ... + 423249916.

Almost surely, 23132022002100 is an apocalyptic number.

It is an amenable number.

3132022002100 is an abundant number, since it is smaller than the sum of its proper divisors (3848154608664).

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

3132022002100 is a wasteful number, since it uses less digits than its factorization.

3132022002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846492484 (or 846492477 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3132022002100 its reverse (12002202313), we get a palindrome (3144024204413).

The spelling of 3132022002100 in words is "three trillion, one hundred thirty-two billion, twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 846492433 1692984866 3385969732 4232462165 8464924330 16929848660 21162310825 31320220021 42324621650 62640440042 84649243300 125280880084 156601100105 313202200210 626404400420 783005500525 1566011001050 3132022002100