Search a number
-
+
102214332240 = 24353711510623
BaseRepresentation
bin101111100110001110…
…0101110111101010000
3100202211111022002000220
41133030130232331100
53133313332112430
6114542343513040
710245652326426
oct1371434567520
9322744262026
10102214332240
113a392364749
1217987458780
13983c4bb7c7
144d3918d116
1529d3838110
hex17cc72ef50

102214332240 has 80 divisors (see below), whose sum is σ = 325428361728. Its totient is φ = 26520473088.

The previous prime is 102214332211. The next prime is 102214332287. The reversal of 102214332240 is 42233412201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102214332240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5746432 + ... + 5764191.

Almost surely, 2102214332240 is an apocalyptic number.

102214332240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102214332240 is an abundant number, since it is smaller than the sum of its proper divisors (223214029488).

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

102214332240 is a wasteful number, since it uses less digits than its factorization.

102214332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11510676 (or 11510670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102214332240 its reverse (42233412201), we get a palindrome (144447744441).

The spelling of 102214332240 in words is "one hundred two billion, two hundred fourteen million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 11510623 23021246 34531869 46042492 57553115 69063738 92084984 115106230 138127476 172659345 184169968 230212460 276254952 345318690 425893051 460424920 552509904 690637380 851786102 920849840 1277679153 1381274760 1703572204 2129465255 2555358306 2762549520 3407144408 4258930510 5110716612 6388395765 6814288816 8517861020 10221433224 12776791530 17035722040 20442866448 25553583060 34071444080 51107166120 102214332240