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102030133320 = 23325283417037
BaseRepresentation
bin101111100000101111…
…0000100100001001000
3100202100122200210121200
41133001132010201020
53132424203231240
6114512203504200
710241254552353
oct1370136044110
9322318623550
10102030133320
113a2a8394335
1217935828060
1398102a766b
144d1c92129a
1529c25a0930
hex17c1784848

102030133320 has 48 divisors (see below), whose sum is σ = 331597934460. Its totient is φ = 27208035456.

The previous prime is 102030133279. The next prime is 102030133339. The reversal of 102030133320 is 23331030201.

102030133320 is a `hidden beast` number, since 10 + 2 + 0 + 301 + 33 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101670424164 + 359709156 = 318858^2 + 18966^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102030133293 and 102030133302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141708159 + ... + 141708878.

Almost surely, 2102030133320 is an apocalyptic number.

102030133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102030133320 is an abundant number, since it is smaller than the sum of its proper divisors (229567801140).

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

102030133320 is a wasteful number, since it uses less digits than its factorization.

102030133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283417054 (or 283417047 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102030133320 its reverse (23331030201), we get a palindrome (125361163521).

The spelling of 102030133320 in words is "one hundred two billion, thirty million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 283417037 566834074 850251111 1133668148 1417085185 1700502222 2267336296 2550753333 2834170370 3401004444 4251255555 5101506666 5668340740 6802008888 8502511110 10203013332 11336681480 12753766665 17005022220 20406026664 25507533330 34010044440 51015066660 102030133320