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3032131331000 = 235323612161177
BaseRepresentation
bin101100000111111001000…
…111000110001110111000
3101201212110110001000022102
4230013321013012032320
5344134301110043000
610240535241242532
7432031020030662
oct54077107061670
911655413030272
103032131331000
11a69a130a8292
1240b792793448
1318cc0c6328b5
14a6a82425532
1553d155233d5
hex2c1f91c63b8

3032131331000 has 128 divisors (see below), whose sum is σ = 7525048901760. Its totient is φ = 1141100928000.

The previous prime is 3032131330999. The next prime is 3032131331029. The reversal of 3032131331000 is 1331312303.

3032131331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30321313310002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 322412 + ... + 2483588.

It is an arithmetic number, because the mean of its divisors is an integer number (58789444545).

Almost surely, 23032131331000 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 3032131331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762524450880).

3032131331000 is an abundant number, since it is smaller than the sum of its proper divisors (4492917570760).

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

3032131331000 is a wasteful number, since it uses less digits than its factorization.

3032131331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161282 (or 2161268 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3032131331000 its reverse (1331312303), we get a palindrome (3033462643303).

The spelling of 3032131331000 in words is "three trillion, thirty-two billion, one hundred thirty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 61 92 100 115 122 125 184 200 230 244 250 305 460 488 500 575 610 920 1000 1150 1220 1403 1525 2300 2440 2806 2875 3050 4600 5612 5750 6100 7015 7625 11224 11500 12200 14030 15250 23000 28060 30500 35075 56120 61000 70150 140300 175375 280600 350750 701500 1403000 2161177 4322354 8644708 10805885 17289416 21611770 43223540 49707071 54029425 86447080 99414142 108058850 131831797 198828284 216117700 248535355 263663594 270147125 397656568 432235400 497070710 527327188 540294250 659158985 994141420 1054654376 1080588500 1242676775 1318317970 1988282840 2161177000 2485353550 2636635940 3032131331 3295794925 4970707100 5273271880 6064262662 6213383875 6591589850 9941414200 12128525324 12426767750 13183179700 15160656655 16478974625 24257050648 24853535500 26366359400 30321313310 32957949250 49707071000 60642626620 65915898500 75803283275 121285253240 131831797000 151606566550 303213133100 379016416375 606426266200 758032832750 1516065665500 3032131331000