Search a number
-
+
102680222304 = 2531197235059
BaseRepresentation
bin101111110100000110…
…1111101101001100000
3100211000221221202001110
41133220031331221200
53140242114103204
6115100505303320
710263340326462
oct1375015755140
9324027852043
10102680222304
113a601343860
1217a97494b40
1398b4b8ccba
144d80dc6132
152a0e6b4889
hex17e837da60

102680222304 has 48 divisors (see below), whose sum is σ = 294038821440. Its totient is φ = 31115218560.

The previous prime is 102680222303. The next prime is 102680222311. The reversal of 102680222304 is 403222086201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102680222303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48616474 + ... + 48618585.

It is an arithmetic number, because the mean of its divisors is an integer number (6125808780).

Almost surely, 2102680222304 is an apocalyptic number.

It is an amenable number.

102680222304 is an abundant number, since it is smaller than the sum of its proper divisors (191358599136).

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

102680222304 is a wasteful number, since it uses less digits than its factorization.

102680222304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97235083 (or 97235075 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 102680222304 in words is "one hundred two billion, six hundred eighty million, two hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 97235059 194470118 291705177 388940236 583410354 777880472 1069585649 1166820708 1555760944 2139171298 2333641416 3111521888 3208756947 4278342596 4667282832 6417513894 8556685192 9334565664 12835027788 17113370384 25670055576 34226740768 51340111152 102680222304