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12023213100 = 22352412713607
BaseRepresentation
bin10110011001010001…
…11010110000101100
31011000220210111201220
423030220322300230
5144110420304400
65305015103340
7603642424263
oct131450726054
934026714656
1012023213100
11510a876a58
1223b6671b50
131197c015a2
14820b415da
154a58087a0
hex2cca3ac2c

12023213100 has 144 divisors (see below), whose sum is σ = 35777043456. Its totient is φ = 3115584000.

The previous prime is 12023213099. The next prime is 12023213171. The reversal of 12023213100 is 131232021.

It is a super-2 number, since 2×120232131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12023213100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3331497 + ... + 3335103.

Almost surely, 212023213100 is an apocalyptic number.

12023213100 is a gapful number since it is divisible by the number (10) 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 12023213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17888521728).

12023213100 is an abundant number, since it is smaller than the sum of its proper divisors (23753830356).

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

12023213100 is a wasteful number, since it uses less digits than its factorization.

12023213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12023213100 its reverse (131232021), we get a palindrome (12154445121).

The spelling of 12023213100 in words is "twelve billion, twenty-three million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 3607 4065 4100 5420 6150 6775 7214 8130 10821 11111 12300 13550 14428 16260 18035 20325 21642 22222 27100 33333 36070 40650 43284 44444 54105 55555 66666 72140 81300 90175 108210 111110 133332 147887 166665 180350 216420 222220 270525 277775 295774 333330 360700 443661 541050 555550 591548 666660 739435 833325 887322 977497 1082100 1111100 1478870 1666650 1774644 1954994 2218305 2932491 2957740 3333300 3697175 3909988 4436610 4887485 5864982 7394350 8873220 9774970 11091525 11729964 14662455 14788700 19549940 22183050 24437425 29324910 40077377 44366100 48874850 58649820 73312275 80154754 97749700 120232131 146624550 160309508 200386885 240464262 293249100 400773770 480928524 601160655 801547540 1001934425 1202321310 2003868850 2404642620 3005803275 4007737700 6011606550 12023213100