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31241433630 = 235111712134591
BaseRepresentation
bin11101000110001000…
…100111001000011110
32222122021021021011110
4131012020213020132
51002440301334010
622204020202450
72154122542611
oct350610471036
988567237143
1031241433630
1112281a7a540
12607a839426
132c3b635804
141725282178
15c2caeb120
hex74622721e

31241433630 has 128 divisors (see below), whose sum is σ = 86697547776. Its totient is φ = 7120742400.

The previous prime is 31241433607. The next prime is 31241433637. The reversal of 31241433630 is 3633414213.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31241433637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6802635 + ... + 6807225.

It is an arithmetic number, because the mean of its divisors is an integer number (677324592).

Almost surely, 231241433630 is an apocalyptic number.

31241433630 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 31241433630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43348773888).

31241433630 is an abundant number, since it is smaller than the sum of its proper divisors (55456114146).

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

31241433630 is a wasteful number, since it uses less digits than its factorization.

31241433630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 31241433630 its reverse (3633414213), we get a palindrome (34874847843).

The spelling of 31241433630 in words is "thirty-one billion, two hundred forty-one million, four hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1213 1870 2426 2805 3639 4591 5610 6065 7278 9182 12130 13343 13773 18195 20621 22955 26686 27546 36390 40029 41242 45910 50501 61863 66715 68865 78047 80058 101002 103105 123726 133430 137730 151503 156094 200145 206210 226831 234141 252505 303006 309315 390235 400290 453662 468282 505010 618630 680493 757515 780470 858517 1134155 1170705 1360986 1515030 1717034 2268310 2341410 2575551 3402465 4292585 5151102 5568883 6804930 8585170 11137766 12877755 16706649 25755510 27844415 33413298 55688830 61257713 83533245 94671011 122515426 167066490 183773139 189342022 284013033 306288565 367546278 473355055 568026066 612577130 918865695 946710110 1041381121 1420065165 1837731390 2082762242 2840130330 3124143363 5206905605 6248286726 10413811210 15620716815 31241433630