Search a number
-
+
102000121020 = 22335726984159
BaseRepresentation
bin101111011111110101…
…1100101010010111100
3100202021120020000111000
41132333223211102330
53132344012333040
6114505212330300
710240441503060
oct1367753452274
9322246200430
10102000121020
113a292455686
1217927773990
139806cc9bc5
144d1894baa0
1529beb23130
hex17bfae54bc

102000121020 has 96 divisors (see below), whose sum is σ = 362667110400. Its totient is φ = 23314312512.

The previous prime is 102000121009. The next prime is 102000121021. The reversal of 102000121020 is 20121000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102000120993 and 102000121011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000121021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13488300 + ... + 13495859.

It is an arithmetic number, because the mean of its divisors is an integer number (3777782400).

Almost surely, 2102000121020 is an apocalyptic number.

102000121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000121020 is an abundant number, since it is smaller than the sum of its proper divisors (260666989380).

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

102000121020 is a wasteful number, since it uses less digits than its factorization.

102000121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26984184 (or 26984176 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102000121020 its reverse (20121000201), we get a palindrome (122121121221).

The spelling of 102000121020 in words is "one hundred two billion, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 26984159 53968318 80952477 107936636 134920795 161904954 188889113 242857431 269841590 323809908 377778226 404762385 485714862 539683180 566667339 728572293 755556452 809524770 944445565 971429724 1133334678 1214287155 1457144586 1619049540 1700002017 1888891130 2266669356 2428574310 2833336695 2914289172 3400004034 3642861465 3777782260 4857148620 5100006051 5666673390 6800008068 7285722930 8500010085 10200012102 11333346780 14571445860 17000020170 20400024204 25500030255 34000040340 51000060510 102000121020