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3000031131120 = 2435432887100693
BaseRepresentation
bin101011101001111111110…
…010100011010111110000
3101121210121022211220022120
4223221333302203113300
5343123030432143440
610214110102434240
7426513365603262
oct53517762432760
911553538756276
103000031131120
11a573403a9a81
12405514432980
13189b9510c99a
14a52b90bbb32
1553087342dd0
hex2ba7fca35f0

3000031131120 has 160 divisors (see below), whose sum is σ = 9519768648192. Its totient is φ = 781125037056.

The previous prime is 3000031131113. The next prime is 3000031131133. The reversal of 3000031131120 is 211311300003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3000031131120.

It is a congruent number.

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, 29743494 + ... + 29844186.

Almost surely, 23000031131120 is an apocalyptic number.

3000031131120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000031131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759884324096).

3000031131120 is an abundant number, since it is smaller than the sum of its proper divisors (6519737517072).

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

3000031131120 is a wasteful number, since it uses less digits than its factorization.

3000031131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103639 (or 103633 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 3000031131120 its reverse (211311300003), we get a palindrome (3211342431123).

The spelling of 3000031131120 in words is "three trillion, thirty-one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 2887 3440 5160 5774 8661 10320 11548 14435 17322 23096 28870 34644 43305 46192 57740 69288 86610 100693 115480 124141 138576 173220 201386 230960 248282 302079 346440 372423 402772 496564 503465 604158 620705 692880 744846 805544 993128 1006930 1208316 1241410 1489692 1510395 1611088 1862115 1986256 2013860 2416632 2482820 2979384 3020790 3724230 4027720 4329799 4833264 4965640 5958768 6041580 7448460 8055440 8659598 9931280 12083160 12989397 14896920 17319196 21648995 24166320 25978794 29793840 34638392 43297990 51957588 64946985 69276784 86595980 103915176 129893970 173191960 207830352 259787940 290700691 346383920 519575880 581401382 872102073 1039151760 1162802764 1453503455 1744204146 2325605528 2907006910 3488408292 4360510365 4651211056 5814013820 6976816584 8721020730 11628027640 12500129713 13953633168 17442041460 23256055280 25000259426 34884082920 37500389139 50000518852 62500648565 69768165840 75000778278 100001037704 125001297130 150001556556 187501945695 200002075408 250002594260 300003113112 375003891390 500005188520 600006226224 750007782780 1000010377040 1500015565560 3000031131120