Search a number
-
+
102890511340 = 22517571529981
BaseRepresentation
bin101111111010011000…
…0001001101111101100
3100211120121122112101021
41133310300021233230
53141204432330330
6115133420423524
710301502626161
oct1376460115754
9324517575337
10102890511340
113a6aa014051
1217b359a7ba4
13991960a596
144da0cc6068
152a22da267a
hex17f4c09bec

102890511340 has 48 divisors (see below), whose sum is σ = 229181176224. Its totient is φ = 38667340800.

The previous prime is 102890511287. The next prime is 102890511341. The reversal of 102890511340 is 43115098201.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 102890511296 and 102890511305.

It is not an unprimeable number, because it can be changed into a prime (102890511341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70851 + ... + 459130.

It is an arithmetic number, because the mean of its divisors is an integer number (4774607838).

Almost surely, 2102890511340 is an apocalyptic number.

102890511340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102890511340 is an abundant number, since it is smaller than the sum of its proper divisors (126290664884).

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

102890511340 is a wasteful number, since it uses less digits than its factorization.

102890511340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530578 (or 530576 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 102890511340 in words is "one hundred two billion, eight hundred ninety million, five hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 571 1142 2284 2855 5710 9707 11420 19414 38828 48535 97070 194140 529981 1059962 2119924 2649905 5299810 9009677 10599620 18019354 36038708 45048385 90096770 180193540 302619151 605238302 1210476604 1513095755 3026191510 5144525567 6052383020 10289051134 20578102268 25722627835 51445255670 102890511340