Search a number
-
+
102127273696 = 2571726819137
BaseRepresentation
bin101111100011101000…
…0101000011011100000
3100202121102111001011101
41133013100220123200
53133124040224241
6114525553524144
710243544334430
oct1370720503340
9322542431141
10102127273696
113a348202338
1217962273654
139827459686
144d2b7aa2c0
1529cad8ce31
hex17c74286e0

102127273696 has 48 divisors (see below), whose sum is σ = 243303219936. Its totient is φ = 41194192896.

The previous prime is 102127273691. The next prime is 102127273709. The reversal of 102127273696 is 696372721201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102127273691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13405761 + ... + 13413376.

It is an arithmetic number, because the mean of its divisors is an integer number (5068817082).

Almost surely, 2102127273696 is an apocalyptic number.

102127273696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102127273696 is an abundant number, since it is smaller than the sum of its proper divisors (141175946240).

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

102127273696 is a wasteful number, since it uses less digits than its factorization.

102127273696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26819171 (or 26819163 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

Adding to 102127273696 its reverse (696372721201), we get a palindrome (798499994897).

The spelling of 102127273696 in words is "one hundred two billion, one hundred twenty-seven million, two hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 26819137 53638274 107276548 187733959 214553096 375467918 429106192 455925329 750935836 858212384 911850658 1501871672 1823701316 3003743344 3191477303 3647402632 6007486688 6382954606 7294805264 12765909212 14589610528 25531818424 51063636848 102127273696