Search a number
-
+
100120100010 = 2357805959159
BaseRepresentation
bin101110100111110011…
…1110111110010101010
3100120102112122001111020
41131033213313302222
53120021221200020
6113554453113310
710143032544210
oct1351747676252
9316375561436
10100120100010
1139508206007
12174a2028836
139597670038
144bbada4cb0
15290ea5ec40
hex174f9f7caa

100120100010 has 64 divisors (see below), whose sum is σ = 274653849600. Its totient is φ = 22881367872.

The previous prime is 100120100009. The next prime is 100120100011. The reversal of 100120100010 is 10001021001.

It is an interprime number because it is at equal distance from previous prime (100120100009) and next prime (100120100011).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (100120100011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1662811 + ... + 1721969.

It is an arithmetic number, because the mean of its divisors is an integer number (4291466400).

Almost surely, 2100120100010 is an apocalyptic number.

100120100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100120100010 is an abundant number, since it is smaller than the sum of its proper divisors (174533749590).

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

100120100010 is a wasteful number, since it uses less digits than its factorization.

100120100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67235.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100120100010 its reverse (10001021001), we get a palindrome (110121121011).

The spelling of 100120100010 in words is "one hundred billion, one hundred twenty million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 8059 16118 24177 40295 48354 56413 59159 80590 112826 118318 120885 169239 177477 241770 282065 295795 338478 354954 414113 564130 591590 828226 846195 887385 1242339 1692390 1774770 2070565 2484678 4141130 6211695 12423390 476762381 953524762 1430287143 2383811905 2860574286 3337336667 4767623810 6674673334 7151435715 10012010001 14302871430 16686683335 20024020002 33373366670 50060050005 100120100010