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103210100240 = 24513937105913
BaseRepresentation
bin110000000011111001…
…1010010011000010000
3100212101220000022221012
41200013303102120100
53142333241201430
6115225234350052
710312433243222
oct1400763223020
9325356008835
10103210100240
113a853457a05
1218004a2b328
13996a8a6640
144dd1518412
152a40e80695
hex1807cd2610

103210100240 has 80 divisors (see below), whose sum is σ = 258700452528. Its totient is φ = 38067314688.

The previous prime is 103210100221. The next prime is 103210100243. The reversal of 103210100240 is 42001012301.

It can be written as a sum of positive squares in 8 ways, for example, as 22753912336 + 80456187904 = 150844^2 + 283648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (103210100243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921524 + ... + 1027436.

Almost surely, 2103210100240 is an apocalyptic number.

103210100240 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 103210100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129350226264).

103210100240 is an abundant number, since it is smaller than the sum of its proper divisors (155490352288).

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

103210100240 is a wasteful number, since it uses less digits than its factorization.

103210100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106876 (or 106870 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 103210100240 its reverse (42001012301), we get a palindrome (145211112541).

The spelling of 103210100240 in words is "one hundred three billion, two hundred ten million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 937 1040 1874 3748 4685 7496 9370 12181 14992 18740 24362 37480 48724 60905 74960 97448 105913 121810 194896 211826 243620 423652 487240 529565 847304 974480 1059130 1376869 1694608 2118260 2753738 4236520 5507476 6884345 8473040 11014952 13768690 22029904 27537380 55074760 99240481 110149520 198480962 396961924 496202405 793923848 992404810 1290126253 1587847696 1984809620 2580252506 3969619240 5160505012 6450631265 7939238480 10321010024 12901262530 20642020048 25802525060 51605050120 103210100240