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3113103130032 = 2437107613141257
BaseRepresentation
bin101101010011010011011…
…001111111110110110000
3102000121110111202120222010
4231103103121333312300
5402001113400130112
610342050112042520
7440625411666630
oct55232331776660
912017414676863
103113103130032
11aa0294616365
1242340bb33440
13197744bac70c
14aa96428a6c0
1555ea3ea263c
hex2d4d367fdb0

3113103130032 has 160 divisors (see below), whose sum is σ = 9292163692032. Its totient is φ = 879701686272.

The previous prime is 3113103130031. The next prime is 3113103130037. The reversal of 3113103130032 is 2300313013113.

It is a super-2 number, since 2×31131031300322 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3113103129990 and 3113103130008.

It is not an unprimeable number, because it can be changed into a prime (3113103130031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21967948 + ... + 22109204.

Almost surely, 23113103130032 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 3113103130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646081846016).

3113103130032 is an abundant number, since it is smaller than the sum of its proper divisors (6179060562000).

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

3113103130032 is a wasteful number, since it uses less digits than its factorization.

3113103130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141995 (or 141989 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 3113103130032 its reverse (2300313013113), we get a palindrome (5413416143145).

The spelling of 3113103130032 in words is "three trillion, one hundred thirteen billion, one hundred three million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 613 642 749 856 1226 1284 1498 1712 1839 2247 2452 2568 2996 3678 4291 4494 4904 5136 5992 7356 8582 8988 9808 11984 12873 14712 17164 17976 25746 29424 34328 35952 51492 65591 68656 102984 131182 141257 196773 205968 262364 282514 393546 423771 459137 524728 565028 787092 847542 918274 988799 1049456 1130056 1377411 1574184 1695084 1836548 1977598 2260112 2754822 2966397 3148368 3390168 3673096 3955196 5509644 5932794 6780336 7346192 7910392 11019288 11865588 15114499 15820784 22038576 23731176 30228998 45343497 47462352 60457996 86590541 90686994 105801493 120915992 173181082 181373988 211602986 241831984 259771623 317404479 346362164 362747976 423205972 519543246 606133787 634808958 692724328 725495952 846411944 1039086492 1212267574 1269617916 1385448656 1692823888 1818401361 2078172984 2424535148 2539235832 3636802722 4156345968 4849070296 5078471664 7273605444 9265187887 9698140592 14547210888 18530375774 27795563661 29094421776 37060751548 55591127322 64856315209 74121503096 111182254644 129712630418 148243006192 194568945627 222364509288 259425260836 389137891254 444729018576 518850521672 778275782508 1037701043344 1556551565016 3113103130032