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31241431310430 = 23511379912581913
BaseRepresentation
bin1110001101001111101100…
…11010100110000001011110
311002121122121001201111202110
413012213312122212001132
513043324422403413210
6150240040532334450
76403055535412605
oct706476632460136
9132548531644673
1031241431310430
119a5546456a970
123606970174426
13145809249b553
147a01441c4a3c
153929dbe78420
hex1c69f66a605e

31241431310430 has 128 divisors (see below), whose sum is σ = 84091245244416. Its totient is φ = 7361547494400.

The previous prime is 31241431310423. The next prime is 31241431310449. The reversal of 31241431310430 is 3401313414213.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10809154 + ... + 13391066.

It is an arithmetic number, because the mean of its divisors is an integer number (656962853472).

Almost surely, 231241431310430 is an apocalyptic number.

31241431310430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31241431310430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42045622622208).

31241431310430 is an abundant number, since it is smaller than the sum of its proper divisors (52849813933986).

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

31241431310430 is a wasteful number, since it uses less digits than its factorization.

31241431310430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582962.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 31241431310430 its reverse (3401313414213), we get a palindrome (34642744724643).

The spelling of 31241431310430 in words is "thirty-one trillion, two hundred forty-one billion, four hundred thirty-one million, three hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 991 1110 1221 1982 2035 2442 2973 4070 4955 5946 6105 9910 10901 12210 14865 21802 29730 32703 36667 54505 65406 73334 109010 110001 163515 183335 220002 327030 366670 403337 550005 806674 1100010 1210011 2016685 2420022 2581913 4033370 5163826 6050055 7745739 12100110 12909565 15491478 25819130 28401043 38728695 56802086 77457390 85203129 95530781 142005215 170406258 191061562 284010430 286592343 426015645 477653905 573184686 852031290 955307810 1050838591 1432961715 2101677182 2558675783 2865923430 3152515773 5117351566 5254192955 6305031546 7676027349 10508385910 12793378915 15352054698 15762578865 25586757830 28145433613 31525157730 38380136745 56290867226 76760273490 84436300839 94671003971 140727168065 168872601678 189342007942 281454336130 284013011913 422181504195 473355019855 568026023826 844363008390 946710039710 1041381043681 1420065059565 2082762087362 2840130119130 3124143131043 5206905218405 6248286262086 10413810436810 15620715655215 31241431310430