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2012300100 = 22325217912491
BaseRepresentation
bin111011111110001…
…0100001101000100
312012020111102210100
41313330110031010
513110122100400
6531402324100
7100603161066
oct16774241504
95166442710
102012300100
11942988938
12481ab9630
13260b92b25
1415137b736
15bb9e2100
hex77f14344

2012300100 has 108 divisors (see below), whose sum is σ = 6343187760. Its totient is φ = 533572800.

The previous prime is 2012300099. The next prime is 2012300123. The reversal of 2012300100 is 10032102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154855 + ... + 167345.

It is an arithmetic number, because the mean of its divisors is an integer number (58733220).

Almost surely, 22012300100 is an apocalyptic number.

2012300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171593880).

2012300100 is an abundant number, since it is smaller than the sum of its proper divisors (4330887660).

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

2012300100 is a wasteful number, since it uses less digits than its factorization.

2012300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12690 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2012300100 is about 44858.6680586930. The cubic root of 2012300100 is about 1262.4986321588.

Adding to 2012300100 its reverse (10032102), we get a palindrome (2022332202).

The spelling of 2012300100 in words is "two billion, twelve million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 179 180 225 300 358 450 537 716 895 900 1074 1611 1790 2148 2685 3222 3580 4475 5370 6444 8055 8950 10740 12491 13425 16110 17900 24982 26850 32220 37473 40275 49964 53700 62455 74946 80550 112419 124910 149892 161100 187365 224838 249820 312275 374730 449676 562095 624550 749460 936825 1124190 1249100 1873650 2235889 2248380 2810475 3747300 4471778 5620950 6707667 8943556 11179445 11241900 13415334 20123001 22358890 26830668 33538335 40246002 44717780 55897225 67076670 80492004 100615005 111794450 134153340 167691675 201230010 223588900 335383350 402460020 503075025 670766700 1006150050 2012300100