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12133202430 = 23517376311019
BaseRepresentation
bin10110100110011000…
…11111100111111110
31011022120202112201210
423103030133213332
5144322044434210
65323544345250
7606446343006
oct132314374776
934276675653
1012133202430
115166970628
122427475226
1311b4931b2b
148315b3006
154b02d2e20
hex2d331f9fe

12133202430 has 128 divisors (see below), whose sum is σ = 31747230720. Its totient is φ = 2955294720.

The previous prime is 12133202401. The next prime is 12133202453. The reversal of 12133202430 is 3420233121.

It is a junction number, because it is equal to n+sod(n) for n = 12133202397 and 12133202406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11906461 + ... + 11907479.

It is an arithmetic number, because the mean of its divisors is an integer number (248025240).

Almost surely, 212133202430 is an apocalyptic number.

12133202430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133202430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873615360).

12133202430 is an abundant number, since it is smaller than the sum of its proper divisors (19614028290).

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

12133202430 is a wasteful number, since it uses less digits than its factorization.

12133202430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12133202430 its reverse (3420233121), we get a palindrome (15553435551).

The spelling of 12133202430 in words is "twelve billion, one hundred thirty-three million, two hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 370 510 555 629 631 1019 1110 1258 1262 1887 1893 2038 3057 3145 3155 3774 3786 5095 6114 6290 6310 9435 9465 10190 10727 15285 17323 18870 18930 21454 23347 30570 32181 34646 37703 46694 51969 53635 64362 70041 75406 86615 103938 107270 113109 116735 140082 160905 173230 188515 226218 233470 259845 321810 350205 377030 396899 519690 565545 640951 642989 700410 793798 1131090 1190697 1281902 1285978 1922853 1928967 1984495 2381394 3204755 3214945 3845706 3857934 3968990 5953485 6409510 6429890 9614265 9644835 10930813 11906970 19228530 19289670 21861626 23790593 32792439 47581186 54654065 65584878 71371779 109308130 118952965 142743558 163962195 237905930 327924390 356858895 404440081 713717790 808880162 1213320243 2022200405 2426640486 4044400810 6066601215 12133202430