Search a number
-
+
103768067292 = 223103127661061
BaseRepresentation
bin110000010100100001…
…1110000110011011100
3100220211202220222211120
41200221003300303130
53200004111123132
6115400445450540
710332320006301
oct1405103606334
9326752828746
10103768067292
114000a4068aa
121813b870a50
139a29376266
14504567d0a8
152a74e4902c
hex18290f0cdc

103768067292 has 48 divisors (see below), whose sum is σ = 246401605632. Its totient is φ = 33983772480.

The previous prime is 103768067251. The next prime is 103768067309. The reversal of 103768067292 is 292760867301.

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, 173559 + ... + 487502.

It is an arithmetic number, because the mean of its divisors is an integer number (5133366784).

Almost surely, 2103768067292 is an apocalyptic number.

103768067292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103768067292 is an abundant number, since it is smaller than the sum of its proper divisors (142633538340).

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

103768067292 is a wasteful number, since it uses less digits than its factorization.

103768067292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661298 (or 661296 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 103768067292 in words is "one hundred three billion, seven hundred sixty-eight million, sixty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 103 127 206 254 309 381 412 508 618 762 1236 1524 13081 26162 39243 52324 78486 156972 661061 1322122 1983183 2644244 3966366 7932732 68089283 83954747 136178566 167909494 204267849 251864241 272357132 335818988 408535698 503728482 817071396 1007456964 8647338941 17294677882 25942016823 34589355764 51884033646 103768067292