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103011030100 = 225211909110301
BaseRepresentation
bin101111111101111101…
…1111001010001010100
3100211220000102112001001
41133323323321101110
53141431310430400
6115153403513044
710304465210626
oct1377373712124
9324800375031
10103011030100
113a76104a630
1217b6a228784
139938586664
144db2cd8c16
152a2d75ba6a
hex17fbef9454

103011030100 has 72 divisors (see below), whose sum is σ = 243905701536. Its totient is φ = 37450800000.

The previous prime is 103011030077. The next prime is 103011030107. The reversal of 103011030100 is 1030110301.

It is a super-2 number, since 2×1030110301002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011030107) 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, 9994950 + ... + 10005250.

It is an arithmetic number, because the mean of its divisors is an integer number (3387579188).

Almost surely, 2103011030100 is an apocalyptic number.

103011030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103011030100 is an abundant number, since it is smaller than the sum of its proper divisors (140894671436).

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

103011030100 is a wasteful number, since it uses less digits than its factorization.

103011030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19417 (or 19410 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 103011030100 its reverse (1030110301), we get a palindrome (104041140401).

103011030100 divided by its reverse (1030110301) gives a square (100 = 102).

It can be divided in two parts, 10301 and 1030100, that multiplied together give a square (10611060100 = 1030102).

The spelling of 103011030100 in words is "one hundred three billion, eleven million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9091 10301 18182 20602 36364 41204 45455 51505 90910 100001 103010 113311 181820 200002 206020 226622 227275 257525 400004 453244 454550 500005 515050 566555 909100 1000010 1030100 1133110 2000020 2266220 2500025 2832775 5000050 5665550 10000100 11331100 93646391 187292782 374585564 468231955 936463910 1030110301 1872927820 2060220602 2341159775 4120441204 4682319550 5150551505 9364639100 10301103010 20602206020 25752757525 51505515050 103011030100