Search a number
-
+
110232030328 = 23726710913847
BaseRepresentation
bin110011010101001010…
…1110100110001111000
3101112112021000100010221
41212222111310301320
53301223344432303
6122350114545424
710651436540500
oct1465225646170
9345467010127
10110232030328
114282711aa12
1219444598274
13a5195ba364
145499d42a00
152d0267c4bd
hex19aa574c78

110232030328 has 96 divisors (see below), whose sum is σ = 244305210240. Its totient is φ = 46482448320.

The previous prime is 110232030289. The next prime is 110232030329. The reversal of 110232030328 is 823030232011.

It is a super-2 number, since 2×1102320303282 (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 (110232030329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28652101 + ... + 28655947.

It is an arithmetic number, because the mean of its divisors is an integer number (2544845940).

Almost surely, 2110232030328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110232030328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122152605120).

110232030328 is an abundant number, since it is smaller than the sum of its proper divisors (134073179912).

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

110232030328 is a wasteful number, since it uses less digits than its factorization.

110232030328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 110232030328 its reverse (823030232011), we get a palindrome (933262262339).

The spelling of 110232030328 in words is "one hundred ten billion, two hundred thirty-two million, thirty thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 134 196 268 392 469 536 938 1091 1876 2182 3283 3752 3847 4364 6566 7637 7694 8728 13132 15274 15388 26264 26929 30548 30776 53459 53858 61096 73097 106918 107716 146194 188503 213836 215432 257749 292388 377006 427672 511679 515498 584776 754012 1023358 1030996 1508024 1804243 2046716 2061992 3581753 3608486 4093432 4197077 7163506 7216972 8394154 12629701 14327012 14433944 16788308 25259402 28654024 29379539 33576616 50518804 58759078 101037608 117518156 205656773 235036312 281204159 411313546 562408318 822627092 1124816636 1645254184 1968429113 2249633272 3936858226 7873716452 13779003791 15747432904 27558007582 55116015164 110232030328