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12430321400 = 2352763114071
BaseRepresentation
bin10111001001110011…
…11010011011111000
31012002021211202100002
423210321322123320
5200424130241100
65413240532132
7620014663040
oct134471723370
935067752302
1012430321400
1152a96574a2
1224aaa81048
131231361483
1485cc36720
154cb4232d5
hex2e4e7a6f8

12430321400 has 96 divisors (see below), whose sum is σ = 33083834880. Its totient is φ = 4254768000.

The previous prime is 12430321391. The next prime is 12430321433. The reversal of 12430321400 is 412303421.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 876365 + ... + 890435.

It is an arithmetic number, because the mean of its divisors is an integer number (344623280).

Almost surely, 212430321400 is an apocalyptic number.

12430321400 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 12430321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541917440).

12430321400 is an abundant number, since it is smaller than the sum of its proper divisors (20653513480).

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

12430321400 is a wasteful number, since it uses less digits than its factorization.

12430321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14725 (or 14716 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12430321400 its reverse (412303421), we get a palindrome (12842624821).

The spelling of 12430321400 in words is "twelve billion, four hundred thirty million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 631 700 1262 1400 2524 3155 4417 5048 6310 8834 12620 14071 15775 17668 22085 25240 28142 31550 35336 44170 56284 63100 70355 88340 98497 110425 112568 126200 140710 176680 196994 220850 281420 351775 393988 441700 492485 562840 703550 787976 883400 984970 1407100 1969940 2462425 2814200 3939880 4924850 8878801 9849700 17757602 19699400 35515204 44394005 62151607 71030408 88788010 124303214 177576020 221970025 248606428 310758035 355152040 443940050 497212856 621516070 887880100 1243032140 1553790175 1775760200 2486064280 3107580350 6215160700 12430321400