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120131003100 = 223525313675527
BaseRepresentation
bin110111111100001011…
…1011010001011011100
3102111002010200020222010
41233320113122023130
53432012014044400
6131104252151220
711451646451433
oct1577027321334
9374063606863
10120131003100
1146a46901749
121b347768510
13b4363945b4
145b588c811a
1531d1731450
hex1bf85da2dc

120131003100 has 144 divisors (see below), whose sum is σ = 354460313088. Its totient is φ = 31401826560.

The previous prime is 120131003099. The next prime is 120131003171. The reversal of 120131003100 is 1300131021.

It is a super-2 number, since 2×1201310031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 21732537 + ... + 21738063.

It is an arithmetic number, because the mean of its divisors is an integer number (2461529952).

Almost surely, 2120131003100 is an apocalyptic number.

120131003100 is a gapful number since it is divisible by the number (10) 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 120131003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177230156544).

120131003100 is an abundant number, since it is smaller than the sum of its proper divisors (234329309988).

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

120131003100 is a wasteful number, since it uses less digits than its factorization.

120131003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 120131003100 its reverse (1300131021), we get a palindrome (121431134121).

The spelling of 120131003100 in words is "one hundred twenty billion, one hundred thirty-one million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1367 1590 2650 2734 3180 3975 4101 5300 5468 5527 6835 7950 8202 11054 13670 15900 16404 16581 20505 22108 27340 27635 33162 34175 41010 55270 66324 68350 72451 82020 82905 102525 110540 136700 138175 144902 165810 205050 217353 276350 289804 292931 331620 362255 410100 414525 434706 552700 585862 724510 829050 869412 878793 1086765 1171724 1449020 1464655 1658100 1757586 1811275 2173530 2929310 3515172 3622550 4347060 4393965 5433825 5858620 7245100 7323275 7555409 8787930 10867650 14646550 15110818 17575860 21735300 21969825 22666227 29293100 30221636 37777045 43939650 45332454 75554090 87879300 90664908 113331135 151108180 188885225 226662270 377770450 400436677 453324540 566655675 755540900 800873354 1133311350 1201310031 1601746708 2002183385 2266622700 2402620062 4004366770 4805240124 6006550155 8008733540 10010916925 12013100310 20021833850 24026200620 30032750775 40043667700 60065501550 120131003100