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100011001020 = 223571714007143
BaseRepresentation
bin101110100100100011…
…1101100010010111100
3100120010221100020210220
41131021013230102330
53114310304013040
6113535554501340
710140236324310
oct1351107542274
9316127306726
10100011001020
113946166a357
1217471594850
13957ab91b18
144baa6c5b40
1529051ae2d0
hex17491ec4bc

100011001020 has 96 divisors (see below), whose sum is σ = 338860827648. Its totient is φ = 21514970112.

The previous prime is 100011001009. The next prime is 100011001093. The reversal of 100011001020 is 20100110001.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6996432 + ... + 7010711.

It is an arithmetic number, because the mean of its divisors is an integer number (3529800288).

Almost surely, 2100011001020 is an apocalyptic number.

100011001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011001020 is an abundant number, since it is smaller than the sum of its proper divisors (238849826628).

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

100011001020 is a wasteful number, since it uses less digits than its factorization.

100011001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14007179 (or 14007177 counting only the distinct ones).

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

Adding to 100011001020 its reverse (20100110001), we get a palindrome (120111111021).

The spelling of 100011001020 in words is "one hundred billion, eleven million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 14007143 28014286 42021429 56028572 70035715 84042858 98050001 140071430 168085716 196100002 210107145 238121431 280142860 294150003 392200004 420214290 476242862 490250005 588300006 714364293 840428580 952485724 980500010 1176600012 1190607155 1428728586 1470750015 1666850017 1961000020 2381214310 2857457172 2941500030 3333700034 3571821465 4762428620 5000550051 5883000060 6667400068 7143642930 8334250085 10001100102 14287285860 16668500170 20002200204 25002750255 33337000340 50005500510 100011001020