Search a number
-
+
31013510410340 = 22529532551395491
BaseRepresentation
bin1110000110100111001010…
…10001010111000001100100
311001210212021212100010210022
413003103211101113001210
513031111132131112330
6145543224320414312
76350436461625533
oct703234521270144
9131725255303708
1031013510410340
119977835119227
12358a761a77398
13143c73b768123
147930c1c6431a
1538baec6b4ae5
hex1c34e5457064

31013510410340 has 96 divisors (see below), whose sum is σ = 68672471535360. Its totient is φ = 11747002176000.

The previous prime is 31013510410319. The next prime is 31013510410361. The reversal of 31013510410340 is 4301401531013.

It is an interprime number because it is at equal distance from previous prime (31013510410319) and next prime (31013510410361).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78219995 + ... + 78615485.

It is an arithmetic number, because the mean of its divisors is an integer number (715338245160).

Almost surely, 231013510410340 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 31013510410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34336235767680).

31013510410340 is an abundant number, since it is smaller than the sum of its proper divisors (37658961125020).

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

31013510410340 is a wasteful number, since it uses less digits than its factorization.

31013510410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398133 (or 398131 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 31013510410340 its reverse (4301401531013), we get a palindrome (35314911941353).

The spelling of 31013510410340 in words is "thirty-one trillion, thirteen billion, five hundred ten million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 1060 1537 2551 3074 5102 6148 7685 10204 12755 15370 25510 30740 51020 73979 135203 147958 270406 295916 369895 395491 540812 676015 739790 790982 1352030 1479580 1581964 1977455 2704060 3920887 3954910 7841774 7909820 11469239 15683548 19604435 20961023 22938478 39208870 41922046 45876956 57346195 78417740 83844092 104805115 114692390 209610230 229384780 419220460 607869667 1008897541 1215739334 2017795082 2431478668 3039348335 4035590164 5044487705 6078696670 10088975410 12157393340 20177950820 29258028689 53471569673 58516057378 106943139346 117032114756 146290143445 213886278692 267357848365 292580286890 534715696730 585160573780 1069431393460 1550675520517 3101351041034 6202702082068 7753377602585 15506755205170 31013510410340