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113323002310100 = 225211241228427741
BaseRepresentation
bin11001110001000100010001…
…010011000010110111010100
3112212020120110212122111202102
4121301010101103002313110
5104323141002042410400
61041003511335501232
732604213432230012
oct3161042123026724
9485216425574672
10113323002310100
1133121019530200
1210862910227818
134b3040c31a72b
141ddac10ca98b2
15d17bd0c2e9d5
hex6711114c2dd4

113323002310100 has 108 divisors (see below), whose sum is σ = 276891428598204. Its totient is φ = 40203282240000.

The previous prime is 113323002310087. The next prime is 113323002310139. The reversal of 113323002310100 is 1013200323311.

It can be written as a sum of positive squares in 6 ways, for example, as 35550428406724 + 77772573903376 = 5962418^2 + 8818876^2 .

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 35 ways as a sum of consecutive naturals, for example, 113717771 + ... + 114709970.

Almost surely, 2113323002310100 is an apocalyptic number.

113323002310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113323002310100 is an abundant number, since it is smaller than the sum of its proper divisors (163568426288104).

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

113323002310100 is a wasteful number, since it uses less digits than its factorization.

113323002310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228427818 (or 228427800 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 113323002310100 its reverse (1013200323311), we get a palindrome (114336202633411).

The spelling of 113323002310100 in words is "one hundred thirteen trillion, three hundred twenty-three billion, two million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 121 164 205 220 242 275 410 451 484 550 605 820 902 1025 1100 1210 1804 2050 2255 2420 3025 4100 4510 4961 6050 9020 9922 11275 12100 19844 22550 24805 45100 49610 99220 124025 248050 496100 228427741 456855482 913710964 1142138705 2284277410 2512705151 4568554820 5025410302 5710693525 9365537381 10050820604 11421387050 12563525755 18731074762 22842774100 25127051510 27639756661 37462149524 46827686905 50254103020 55279513322 62817628775 93655373810 103020911191 110559026644 125635257550 138198783305 187310747620 206041822382 234138434525 251270515100 276397566610 412083644764 468276869050 515104555955 552795133220 690993916525 936553738100 1030209111910 1133230023101 1381987833050 2060418223820 2266460046202 2575522779775 2763975666100 4532920092404 5151045559550 5666150115505 10302091119100 11332300231010 22664600462020 28330750577525 56661501155050 113323002310100