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102134603100 = 223521512254627
BaseRepresentation
bin101111100011110110…
…0100101110101011100
3100202121221021102012210
41133013230211311130
53133132424244400
6114530415000420
710243663542105
oct1370754456534
9322557242183
10102134603100
113a351358aa2
1217964809110
139828b247ba
144d2c7573ac
1529cb839950
hex17c7b25d5c

102134603100 has 72 divisors (see below), whose sum is σ = 297466599808. Its totient is φ = 27055512000.

The previous prime is 102134603089. The next prime is 102134603101. The reversal of 102134603100 is 1306431201.

102134603100 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1021346031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102134603101) 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, 1082014 + ... + 1172613.

Almost surely, 2102134603100 is an apocalyptic number.

102134603100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102134603100 is an abundant number, since it is smaller than the sum of its proper divisors (195331996708).

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

102134603100 is a wasteful number, since it uses less digits than its factorization.

102134603100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254795 (or 2254788 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 102134603100 in words is "one hundred two billion, one hundred thirty-four million, six hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 453 604 755 906 1510 1812 2265 3020 3775 4530 7550 9060 11325 15100 22650 45300 2254627 4509254 6763881 9018508 11273135 13527762 22546270 27055524 33819405 45092540 56365675 67638810 112731350 135277620 169097025 225462700 338194050 340448677 676388100 680897354 1021346031 1361794708 1702243385 2042692062 3404486770 4085384124 5106730155 6808973540 8511216925 10213460310 17022433850 20426920620 25533650775 34044867700 51067301550 102134603100