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30431402300 = 225213297111369
BaseRepresentation
bin11100010101110110…
…100101100100111100
32220112211001102002002
4130111312211210330
5444310414333200
621551402321432
72125055436335
oct342566454474
986484042062
1030431402300
11119a6807a62
125a934b9278
132b3c87ca30
14168986528c
15bd1941bd5
hex715da593c

30431402300 has 144 divisors (see below), whose sum is σ = 74610849600. Its totient is φ = 10695014400.

The previous prime is 30431402299. The next prime is 30431402423. The reversal of 30431402300 is 320413403.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2671016 + ... + 2682384.

It is an arithmetic number, because the mean of its divisors is an integer number (518130900).

Almost surely, 230431402300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30431402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37305424800).

30431402300 is an abundant number, since it is smaller than the sum of its proper divisors (44179447300).

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

30431402300 is a wasteful number, since it uses less digits than its factorization.

30431402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11496 (or 11489 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 30431402300 its reverse (320413403), we get a palindrome (30751815703).

The spelling of 30431402300 in words is "thirty billion, four hundred thirty-one million, four hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 71 100 116 130 142 145 260 284 290 325 355 377 580 650 710 725 754 923 1300 1420 1450 1508 1775 1846 1885 2059 2900 3550 3692 3770 4118 4615 7100 7540 8236 9230 9425 10295 11369 18460 18850 20590 22738 23075 26767 37700 41180 45476 46150 51475 53534 56845 92300 102950 107068 113690 133835 147797 205900 227380 267670 284225 295594 329701 535340 568450 591188 659402 669175 738985 807199 1136900 1318804 1338350 1477970 1614398 1648505 2676700 2955940 3228796 3297010 3694925 4035995 4286113 6594020 7389850 8071990 8242525 8572226 10493587 14779700 16143980 16485050 17144452 20179975 20987174 21430565 23408771 32970100 40359950 41974348 42861130 46817542 52467935 80719900 85722260 93635084 104935870 107152825 117043855 209871740 214305650 234087710 262339675 304314023 428611300 468175420 524679350 585219275 608628046 1049358700 1170438550 1217256092 1521570115 2340877100 3043140230 6086280460 7607850575 15215701150 30431402300