Search a number
-
+
312120002100 = 223524324195349
BaseRepresentation
bin1001000101010111100…
…11010100011000110100
31002211122011211221000210
410202223303110120310
520103210210031400
6355215210505420
731356424146414
oct4425363243064
91084564757023
10312120002100
11110407671265
12505a8435270
1323581abb29a
141116ca7a644
1581bb735950
hex48abcd4634

312120002100 has 72 divisors (see below), whose sum is σ = 924068807200. Its totient is φ = 81296369280.

The previous prime is 312120002083. The next prime is 312120002119. The reversal of 312120002100 is 1200021213.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 12084775 + ... + 12110574.

Almost surely, 2312120002100 is an apocalyptic number.

312120002100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312120002100 is an abundant number, since it is smaller than the sum of its proper divisors (611948805100).

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

312120002100 is a wasteful number, since it uses less digits than its factorization.

312120002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24195409 (or 24195402 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 312120002100 its reverse (1200021213), we get a palindrome (313320023313).

The spelling of 312120002100 in words is "three hundred twelve billion, one hundred twenty million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 24195349 48390698 72586047 96781396 120976745 145172094 241953490 290344188 362930235 483906980 604883725 725860470 1040400007 1209767450 1451720940 1814651175 2080800014 2419534900 3121200021 3629302350 4161600028 5202000035 6242400042 7258604700 10404000070 12484800084 15606000105 20808000140 26010000175 31212000210 52020000350 62424000420 78030000525 104040000700 156060001050 312120002100