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103013102032 = 2473601146749
BaseRepresentation
bin101111111110000001…
…1110011000111010000
3100211220011022210012021
41133330003303013100
53141432323231112
6115153520141224
710304521630351
oct1377403630720
9324804283167
10103013102032
113a762235275
1217b6aa67814
139938b30759
144db32b7d28
152a2da1a907
hex17fc0f31d0

103013102032 has 40 divisors (see below), whose sum is σ = 202659989000. Its totient is φ = 50716108800.

The previous prime is 103013101987. The next prime is 103013102033. The reversal of 103013102032 is 230201310301.

103013102032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15714126736 + 87298975296 = 125356^2 + 295464^2 .

It is a super-2 number, since 2×1030131020322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103013101997 and 103013102015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013102033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628594 + ... + 775342.

It is an arithmetic number, because the mean of its divisors is an integer number (5066499725).

Almost surely, 2103013102032 is an apocalyptic number.

It is an amenable number.

103013102032 is a deficient number, since it is larger than the sum of its proper divisors (99646886968).

103013102032 is a wasteful number, since it uses less digits than its factorization.

103013102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147431 (or 147425 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103013102032 its reverse (230201310301), we get a palindrome (333214412333).

The spelling of 103013102032 in words is "one hundred three billion, thirteen million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 73 146 292 584 601 1168 1202 2404 4808 9616 43873 87746 146749 175492 293498 350984 586996 701968 1173992 2347984 10712677 21425354 42850708 85701416 88196149 171402832 176392298 352784596 705569192 1411138384 6438318877 12876637754 25753275508 51506551016 103013102032