Search a number
-
+
12354123100 = 22521131362291
BaseRepresentation
bin10111000000101110…
…01111010101011100
31011212222110110220211
423200113033111130
5200300123414400
65401515422204
7615101212414
oct134027172534
934788413824
1012354123100
11526a6425a0
122489454964
13121b632617
14852a7d644
154c48c0dba
hex2e05cf55c

12354123100 has 72 divisors (see below), whose sum is σ = 30189067776. Its totient is φ = 4347480000.

The previous prime is 12354123079. The next prime is 12354123137. The reversal of 12354123100 is 132145321.

It is a happy number.

It is a super-2 number, since 2×123541231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147046 + ... + 215245.

It is an arithmetic number, because the mean of its divisors is an integer number (419292608).

Almost surely, 212354123100 is an apocalyptic number.

12354123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12354123100 is an abundant number, since it is smaller than the sum of its proper divisors (17834944676).

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

12354123100 is a wasteful number, since it uses less digits than its factorization.

12354123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362347 (or 362340 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 12354123100 its reverse (132145321), we get a palindrome (12486268421).

It can be divided in two parts, 123541 and 23100, that added together give a palindrome (146641).

The spelling of 12354123100 in words is "twelve billion, three hundred fifty-four million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 362291 724582 1449164 1811455 3622910 3985201 7245820 7970402 9057275 11231021 15940804 18114550 19926005 22462042 36229100 39852010 44924084 56155105 79704020 99630025 112310210 123541231 199260050 224620420 247082462 280775525 398520100 494164924 561551050 617706155 1123102100 1235412310 2470824620 3088530775 6177061550 12354123100