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4115125300 = 22521121326161
BaseRepresentation
bin1111010101000111…
…1101010000110100
3101121210100000200011
43311101331100310
531411433002200
61520201230004
7203655662566
oct36521752064
911553300604
104115125300
111821976600
1296a192304
1350772c8b0
142b0761336
151914165ba
hexf547d434

4115125300 has 108 divisors (see below), whose sum is σ = 10570860748. Its totient is φ = 1381248000.

The previous prime is 4115125297. The next prime is 4115125337. The reversal of 4115125300 is 35215114.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 840768016 + 3274357284 = 28996^2 + 57222^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144220 + ... + 170380.

Almost surely, 24115125300 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 4115125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285430374).

4115125300 is an abundant number, since it is smaller than the sum of its proper divisors (6455735448).

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

4115125300 is a wasteful number, since it uses less digits than its factorization.

4115125300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26210 (or 26192 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 4115125300 is about 64149.2423961499. The cubic root of 4115125300 is about 1602.4864075469.

The spelling of 4115125300 in words is "four billion, one hundred fifteen million, one hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 121 130 143 220 242 260 275 286 325 484 550 572 605 650 715 1100 1210 1300 1430 1573 2420 2860 3025 3146 3575 6050 6292 7150 7865 12100 14300 15730 26161 31460 39325 52322 78650 104644 130805 157300 261610 287771 340093 523220 575542 654025 680186 1151084 1308050 1360372 1438855 1700465 2616100 2877710 3165481 3400930 3741023 5755420 6330962 6801860 7194275 7482046 8502325 12661924 14388550 14964092 15827405 17004650 18705115 28777100 31654810 34009300 37410230 41151253 63309620 74820460 79137025 82302506 93525575 158274050 164605012 187051150 205756265 316548100 374102300 411512530 823025060 1028781325 2057562650 4115125300