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102000831100 = 22527887164279
BaseRepresentation
bin101111011111110111…
…0010010101001111100
3100202021121120002112021
41132333232102221330
53132344203043400
6114505235445524
710240450521220
oct1367756225174
9322247502467
10102000831100
113a2928a0123
1217927a568a4
1398071b817c
144d18a94780
1529bec1371a
hex17bfb92a7c

102000831100 has 72 divisors (see below), whose sum is σ = 253248791040. Its totient is φ = 34932073920.

The previous prime is 102000831077. The next prime is 102000831137. The reversal of 102000831100 is 1138000201.

102000831100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538761 + ... + 703039.

It is an arithmetic number, because the mean of its divisors is an integer number (3517344320).

Almost surely, 2102000831100 is an apocalyptic number.

102000831100 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 102000831100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126624395520).

102000831100 is an abundant number, since it is smaller than the sum of its proper divisors (151247959940).

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

102000831100 is a wasteful number, since it uses less digits than its factorization.

102000831100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165187 (or 165180 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102000831100 its reverse (1138000201), we get a palindrome (103138831301).

The spelling of 102000831100 in words is "one hundred two billion, eight hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 887 1774 3548 4435 6209 8870 12418 17740 22175 24836 31045 44350 62090 88700 124180 155225 164279 310450 328558 620900 657116 821395 1149953 1642790 2299906 3285580 4106975 4599812 5749765 8213950 11499530 16427900 22999060 28748825 57497650 114995300 145715473 291430946 582861892 728577365 1020008311 1457154730 2040016622 2914309460 3642886825 4080033244 5100041555 7285773650 10200083110 14571547300 20400166220 25500207775 51000415550 102000831100