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151130120334100 = 225279751115322093
BaseRepresentation
bin100010010111001110111001…
…001000110010101100010100
3201211002220020221021001212221
4202113032321020302230110
5124302103441301142400
61253232115132552124
743555535161122145
oct4227167110625424
9654086227231787
10151130120334100
1144177a18a7a056
1214b4a043622644
13664368091c28b
142946a45cd3acc
151271394378c1a
hex8973b9232b14

151130120334100 has 144 divisors (see below), whose sum is σ = 332849355166720. Its totient is φ = 59552962560000.

The previous prime is 151130120333999. The next prime is 151130120334119. The reversal of 151130120334100 is 1433021031151.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 6840622654 + ... + 6840644746.

Almost surely, 2151130120334100 is an apocalyptic number.

151130120334100 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 151130120334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166424677583360).

151130120334100 is an abundant number, since it is smaller than the sum of its proper divisors (181719234832620).

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

151130120334100 is a wasteful number, since it uses less digits than its factorization.

151130120334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24090 (or 24083 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 151130120334100 its reverse (1433021031151), we get a palindrome (152563141365251).

The spelling of 151130120334100 in words is "one hundred fifty-one trillion, one hundred thirty billion, one hundred twenty million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 751 790 1153 1502 1580 1975 2306 3004 3755 3950 4612 5765 7510 7900 11530 15020 18775 22093 23060 28825 37550 44186 57650 59329 75100 88372 91087 110465 115300 118658 182174 220930 237316 296645 364348 441860 455435 552325 593290 865903 910870 1104650 1186580 1483225 1731806 1745347 1821740 2209300 2277175 2966450 3463612 3490694 4329515 4554350 5932900 6981388 8659030 8726735 9108700 16591843 17318060 17453470 21647575 25473229 33183686 34906940 43295150 43633675 50946458 66367372 68406337 82959215 86590300 87267350 101892916 127366145 136812674 165918430 174534700 254732290 273625348 331836860 342031685 414796075 509464580 636830725 684063370 829592150 1273661450 1310755597 1368126740 1659184300 1710158425 2012385091 2547322900 2621511194 3420316850 4024770182 5243022388 6553777985 6840633700 8049540364 10061925455 13107555970 19130394979 20123850910 26215111940 32768889925 38260789958 40247701820 50309627275 65537779850 76521579916 95651974895 100619254550 131075559700 191303949790 201238509100 382607899580 478259874475 956519748950 1511301203341 1913039497900 3022602406682 6045204813364 7556506016705 15113012033410 30226024066820 37782530083525 75565060167050 151130120334100