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3130250100 = 2235219952433
BaseRepresentation
bin1011101010010011…
…1101001101110100
322002011010011212220
42322210331031310
522402321000400
61234340042340
7140366454405
oct27244751564
98064104786
103130250100
111366a4325a
127343933b0
133ab689ac3
14219a2d9ac
15134c217a0
hexba93d374

3130250100 has 72 divisors (see below), whose sum is σ = 9102542400. Its totient is φ = 830522880.

The previous prime is 3130250093. The next prime is 3130250107. The reversal of 3130250100 is 10520313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3130250093) and next prime (3130250107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3130250100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130250107) 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, 33484 + ... + 85916.

It is an arithmetic number, because the mean of its divisors is an integer number (126424200).

Almost surely, 23130250100 is an apocalyptic number.

3130250100 is a gapful number since it is divisible by the number (30) 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 3130250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551271200).

3130250100 is an abundant number, since it is smaller than the sum of its proper divisors (5972292300).

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

3130250100 is a wasteful number, since it uses less digits than its factorization.

3130250100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52649 (or 52642 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3130250100 is about 55948.6380531287. The cubic root of 3130250100 is about 1462.8271515919.

Adding to 3130250100 its reverse (10520313), we get a palindrome (3140770413).

The spelling of 3130250100 in words is "three billion, one hundred thirty million, two hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 398 597 796 995 1194 1990 2388 2985 3980 4975 5970 9950 11940 14925 19900 29850 52433 59700 104866 157299 209732 262165 314598 524330 629196 786495 1048660 1310825 1572990 2621650 3145980 3932475 5243300 7864950 10434167 15729900 20868334 31302501 41736668 52170835 62605002 104341670 125210004 156512505 208683340 260854175 313025010 521708350 626050020 782562525 1043416700 1565125050 3130250100