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3131021432100 = 2235217631972941
BaseRepresentation
bin101101100011111111011…
…010111001010100100100
3102002022201021012122111110
4231203333122321110210
5402244312441311400
610354212115305020
7442131426024432
oct55437732712444
912068637178443
103131021432100
11aa7949a77971
124269908ab170
1319933c206b13
14ab783ccbd52
15566a20bde50
hex2d8ff6b9524

3131021432100 has 144 divisors (see below), whose sum is σ = 9607187350656. Its totient is φ = 784578816000.

The previous prime is 3131021432059. The next prime is 3131021432111. The reversal of 3131021432100 is 12341201313.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2731630 + ... + 3704570.

It is an arithmetic number, because the mean of its divisors is an integer number (66716578824).

Almost surely, 23131021432100 is an apocalyptic number.

3131021432100 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 3131021432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803593675328).

3131021432100 is an abundant number, since it is smaller than the sum of its proper divisors (6476165918556).

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

3131021432100 is a wasteful number, since it uses less digits than its factorization.

3131021432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973606 (or 973599 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 3131021432100 its reverse (12341201313), we get a palindrome (3143362633413).

The spelling of 3131021432100 in words is "three trillion, one hundred thirty-one billion, twenty-one million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 631 850 1020 1262 1275 1700 1893 2524 2550 3155 3786 5100 6310 7572 9465 10727 12620 15775 18930 21454 31550 32181 37860 42908 47325 53635 63100 64362 94650 107270 128724 160905 189300 214540 268175 321810 536350 643620 804525 972941 1072700 1609050 1945882 2918823 3218100 3891764 4864705 5837646 9729410 11675292 14594115 16539997 19458820 24323525 29188230 33079994 48647050 49619991 58376460 66159988 72970575 82699985 97294100 99239982 145941150 165399970 198479964 248099955 291882300 330799940 413499925 496199910 613925771 826999850 992399820 1227851542 1240499775 1653999700 1841777313 2455703084 2480999550 3069628855 3683554626 4961999100 6139257710 7367109252 9208886565 10436738107 12278515420 15348144275 18417773130 20873476214 30696288550 31310214321 36835546260 41746952428 46044432825 52183690535 61392577100 62620428642 92088865650 104367381070 125240857284 156551071605 184177731300 208734762140 260918452675 313102143210 521836905350 626204286420 782755358025 1043673810700 1565510716050 3131021432100