Search a number
-
+
100523136540 = 22353008955681
BaseRepresentation
bin101110110011110100…
…1010101011000011100
3100121110122000102200010
41131213221111120130
53121332410332130
6114102451403220
710156025363631
oct1354751253034
9317418012603
10100523136540
11396a4765352
1217594bb3510
1396300057a8
144c1871a188
1529351230b0
hex1767a5561c

100523136540 has 48 divisors (see below), whose sum is σ = 281479191840. Its totient is φ = 26804797440.

The previous prime is 100523136529. The next prime is 100523136551. The reversal of 100523136540 is 45631325001.

It is an interprime number because it is at equal distance from previous prime (100523136529) and next prime (100523136551).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100523136498 and 100523136507.

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, 1777500 + ... + 1833180.

It is an arithmetic number, because the mean of its divisors is an integer number (5864149830).

Almost surely, 2100523136540 is an apocalyptic number.

100523136540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100523136540 is an abundant number, since it is smaller than the sum of its proper divisors (180956055300).

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

100523136540 is a wasteful number, since it uses less digits than its factorization.

100523136540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85782 (or 85780 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 100523136540 in words is "one hundred billion, five hundred twenty-three million, one hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 30089 55681 60178 90267 111362 120356 150445 167043 180534 222724 278405 300890 334086 361068 451335 556810 601780 668172 835215 902670 1113620 1670430 1805340 3340860 1675385609 3350771218 5026156827 6701542436 8376928045 10052313654 16753856090 20104627308 25130784135 33507712180 50261568270 100523136540