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100110001004 = 221317231117349
BaseRepresentation
bin101110100111100000…
…1010110001101101100
3100120101211121222020222
41131033001112031230
53120011130013004
6113553452430512
710142550653066
oct1351701261554
9316354558228
10100110001004
1139502538522
121749a778438
1395955453b0
144bb98d6736
15290dc177be
hex174f05636c

100110001004 has 24 divisors (see below), whose sum is σ = 188778517200. Its totient is φ = 46177758144.

The previous prime is 100110001003. The next prime is 100110001009. The reversal of 100110001004 is 400100011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110000982 and 100110001000.

It is not an unprimeable number, because it can be changed into a prime (100110001003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 469079 + ... + 648270.

It is an arithmetic number, because the mean of its divisors is an integer number (7865771550).

Almost surely, 2100110001004 is an apocalyptic number.

It is an amenable number.

100110001004 is a deficient number, since it is larger than the sum of its proper divisors (88668516196).

100110001004 is a wasteful number, since it uses less digits than its factorization.

100110001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119089 (or 1119087 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100110001004 its reverse (400100011001), we get a palindrome (500210012005).

The spelling of 100110001004 in words is "one hundred billion, one hundred ten million, one thousand, four".

Divisors: 1 2 4 13 26 52 1723 3446 6892 22399 44798 89596 1117349 2234698 4469396 14525537 29051074 58102148 1925192327 3850384654 7700769308 25027500251 50055000502 100110001004