Search a number
-
+
12304331200 = 265272156943
BaseRepresentation
bin10110111010110010…
…10011000111000000
31011202111202210021101
423131121103013000
5200144402044300
65352540304144
7613625042500
oct133531230700
934674683241
1012304331200
115244524167
122474842054
13121121ab65
1484a1dba00
154c0337b6a
hex2dd6531c0

12304331200 has 126 divisors (see below), whose sum is σ = 35219646096. Its totient is φ = 4218600960.

The previous prime is 12304331197. The next prime is 12304331203. The reversal of 12304331200 is 213340321.

It is an interprime number because it is at equal distance from previous prime (12304331197) and next prime (12304331203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304331203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72 + ... + 156871.

Almost surely, 212304331200 is an apocalyptic number.

12304331200 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 12304331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17609823048).

12304331200 is an abundant number, since it is smaller than the sum of its proper divisors (22915314896).

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

12304331200 is a wasteful number, since it uses less digits than its factorization.

12304331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156979 (or 156957 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12304331200 its reverse (213340321), we get a palindrome (12517671521).

The spelling of 12304331200 in words is "twelve billion, three hundred four million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 700 784 800 980 1120 1225 1400 1568 1600 1960 2240 2450 2800 3136 3920 4900 5600 7840 9800 11200 15680 19600 39200 78400 156943 313886 627772 784715 1098601 1255544 1569430 2197202 2511088 3138860 3923575 4394404 5022176 5493005 6277720 7690207 7847150 8788808 10044352 10986010 12555440 15380414 15694300 17577616 21972020 25110880 27465025 30760828 31388600 35155232 38451035 43944040 50221760 54930050 61521656 62777200 70310464 76902070 87888080 109860100 123043312 125554400 153804140 175776160 192255175 219720200 246086624 251108800 307608280 351552320 384510350 439440400 492173248 615216560 769020700 878880800 1230433120 1538041400 1757761600 2460866240 3076082800 6152165600 12304331200