Search a number
-
+
120100001000 = 2353717157143
BaseRepresentation
bin110111111011010000…
…1001001010011101000
3102110222222100012002012
41233312201021103220
53431431100013000
6131101223455052
711451122110340
oct1576641112350
9373888305065
10120100001000
1146a30357381
121b3392b7488
13b42cb2b465
145b54737d20
1531cdb5a735
hex1bf68494e8

120100001000 has 64 divisors (see below), whose sum is σ = 321181735680. Its totient is φ = 41177140800.

The previous prime is 120100000961. The next prime is 120100001029. The reversal of 120100001000 is 100001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8571572 + ... + 8585571.

It is an arithmetic number, because the mean of its divisors is an integer number (5018464620).

Almost surely, 2120100001000 is an apocalyptic number.

120100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100001000 is an abundant number, since it is smaller than the sum of its proper divisors (201081734680).

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

120100001000 is a wasteful number, since it uses less digits than its factorization.

120100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17157171 (or 17157157 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 120100001000 its reverse (100001021), we get a palindrome (120200002021).

The spelling of 120100001000 in words is "one hundred twenty billion, one hundred million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 17157143 34314286 68628572 85785715 120100001 137257144 171571430 240200002 343142860 428928575 480400004 600500005 686285720 857857150 960800008 1201000010 1715714300 2144642875 2402000020 3002500025 3431428600 4289285750 4804000040 6005000050 8578571500 12010000100 15012500125 17157143000 24020000200 30025000250 60050000500 120100001000