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345250510100 = 225283103403849
BaseRepresentation
bin1010000011000101000…
…10001011010100010100
31020000011002202010001122
411001202202023110110
521124033112310400
6422334512343112
733641425625636
oct5014242132424
91200132663048
10345250510100
11123468a04291
1256ab3844a98
1326731900682
14129d2b80a56
158eaa0d2685
hex506288b514

345250510100 has 72 divisors (see below), whose sum is σ = 765583291200. Its totient is φ = 135111386880.

The previous prime is 345250510049. The next prime is 345250510103. The reversal of 345250510100 is 1015052543.

It is a self number, because there is not a number n which added to its sum of digits gives 345250510100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345250510103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652976 + ... + 1056824.

Almost surely, 2345250510100 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 345250510100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382791645600).

345250510100 is an abundant number, since it is smaller than the sum of its proper divisors (420332781100).

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

345250510100 is a wasteful number, since it uses less digits than its factorization.

345250510100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404049 (or 404042 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 345250510100 its reverse (1015052543), we get a palindrome (346265562643).

The spelling of 345250510100 in words is "three hundred forty-five billion, two hundred fifty million, five hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 103 166 206 332 412 415 515 830 1030 1660 2060 2075 2575 4150 5150 8300 8549 10300 17098 34196 42745 85490 170980 213725 403849 427450 807698 854900 1615396 2019245 4038490 8076980 10096225 20192450 33519467 40384900 41596447 67038934 83192894 134077868 166385788 167597335 207982235 335194670 415964470 670389340 831928940 837986675 1039911175 1675973350 2079822350 3351946700 3452505101 4159644700 6905010202 13810020404 17262525505 34525051010 69050102020 86312627525 172625255050 345250510100