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2133123102 = 2321143250543
BaseRepresentation
bin111111100100100…
…1110000000011110
312111122211212210100
41333021032000132
513332034414402
6551400121530
7103601150535
oct17711160036
95448755710
102133123102
119a5101a60
124b64662a6
1327cc17526
1416342d31c
15c740b71c
hex7f24e01e

2133123102 has 48 divisors (see below), whose sum is σ = 5159202048. Its totient is φ = 631365840.

The previous prime is 2133123089. The next prime is 2133123107. The reversal of 2133123102 is 2013213312.

2133123102 is a `hidden beast` number, since 21 + 331 + 2 + 310 + 2 = 666.

It is a super-2 number, since 2×21331231022 = 9100428336572204808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133123107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116758 + ... + 133785.

It is an arithmetic number, because the mean of its divisors is an integer number (107483376).

Almost surely, 22133123102 is an apocalyptic number.

2133123102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2133123102 is an abundant number, since it is smaller than the sum of its proper divisors (3026078946).

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

2133123102 is a wasteful number, since it uses less digits than its factorization.

2133123102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250605 (or 250602 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2133123102 is about 46185.7456581573. The cubic root of 2133123102 is about 1287.2768913932.

Adding to 2133123102 its reverse (2013213312), we get a palindrome (4146336414).

The spelling of 2133123102 in words is "two billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 250543 501086 751629 1503258 2254887 2755973 4509774 5511946 8267919 10773349 16535838 21546698 24803757 32320047 49607514 64640094 96960141 118506839 193920282 237013678 355520517 711041034 1066561551 2133123102