Search a number
-
+
103379284530 = 233531100912241
BaseRepresentation
bin110000001000111100…
…0101011001000110010
3100212211200100210011000
41200101320223020302
53143210044101110
6115254120502430
710316556263664
oct1402170531062
9325750323130
10103379284530
113a92aa02635
121805161aa16
1399969615a2
145009b98534
152a50c4e1c0
hex1811e2b232

103379284530 has 128 divisors (see below), whose sum is σ = 284876236800. Its totient is φ = 26649907200.

The previous prime is 103379284507. The next prime is 103379284543. The reversal of 103379284530 is 35482973301.

103379284530 is a `hidden beast` number, since 1 + 0 + 3 + 37 + 9 + 2 + 84 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8439210 + ... + 8451450.

It is an arithmetic number, because the mean of its divisors is an integer number (2225595600).

Almost surely, 2103379284530 is an apocalyptic number.

103379284530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103379284530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142438118400).

103379284530 is an abundant number, since it is smaller than the sum of its proper divisors (181496952270).

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

103379284530 is a wasteful number, since it uses less digits than its factorization.

103379284530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 103379284530 in words is "one hundred three billion, three hundred seventy-nine million, two hundred eighty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1009 1395 1674 2018 2790 3027 4185 5045 6054 8370 9081 10090 12241 15135 18162 24482 27243 30270 31279 36723 45405 54486 61205 62558 73446 90810 93837 110169 122410 136215 156395 183615 187674 220338 272430 281511 312790 330507 367230 379471 469185 550845 563022 661014 758942 844533 938370 1101690 1138413 1407555 1652535 1689066 1897355 2276826 2815110 3305070 3415239 3794710 4222665 5692065 6830478 8445330 10245717 11384130 12351169 17076195 20491434 24702338 34152390 37053507 51228585 61755845 74107014 102457170 111160521 123511690 185267535 222321042 333481563 370535070 382886239 555802605 666963126 765772478 1111605210 1148658717 1667407815 1914431195 2297317434 3334815630 3445976151 3828862390 5743293585 6891952302 10337928453 11486587170 17229880755 20675856906 34459761510 51689642265 103379284530