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3131004220302 = 2372313978729629
BaseRepresentation
bin101101100011111110011…
…001001111001110001110
3102002022200001211012100110
4231203332121033032032
5402244244040022202
610354210302340450
7442131126520320
oct55437631171616
912068601735313
103131004220302
11aa7940291442
12426986b8a726
1319933878b81a
14ab7818cb610
15566a081e26c
hex2d8fe64f38e

3131004220302 has 128 divisors (see below), whose sum is σ = 7531272806400. Its totient is φ = 848414134656.

The previous prime is 3131004220273. The next prime is 3131004220303. The reversal of 3131004220302 is 2030224001313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131004220303) 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, 105658824 + ... + 105688452.

It is an arithmetic number, because the mean of its divisors is an integer number (58838068800).

Almost surely, 23131004220302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131004220302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765636403200).

3131004220302 is an abundant number, since it is smaller than the sum of its proper divisors (4400268586098).

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

3131004220302 is a wasteful number, since it uses less digits than its factorization.

3131004220302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30590.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3131004220302 its reverse (2030224001313), we get a palindrome (5161228221615).

The spelling of 3131004220302 in words is "three trillion, one hundred thirty-one billion, four million, two hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 139 161 278 322 417 483 787 834 966 973 1574 1946 2361 2919 3197 4722 5509 5838 6394 9591 11018 16527 18101 19182 22379 29629 33054 36202 44758 54303 59258 67137 88887 108606 109393 126707 134274 177774 207403 218786 253414 328179 380121 414806 622209 656358 681467 760242 765751 1244418 1362934 1531502 2044401 2297253 2516039 4088802 4118431 4594506 4770269 5032078 7548117 8236862 9540538 12355293 14310807 15096234 17612273 23318023 24710586 28621614 28829017 35224546 46636046 52836819 57658034 69954069 86487051 94723913 105673638 139908138 163226161 172974102 189447826 284171739 326452322 489678483 536314529 568343478 663067391 979356966 1072629058 1326134782 1608943587 1989202173 3217887174 3241205197 3754201703 3978404346 6482410394 7508403406 9723615591 11262605109 19447231182 22525210218 22688436379 45376872758 68065309137 74547719531 136130618274 149095439062 223643158593 447286317186 521834036717 1043668073434 1565502110151 3131004220302