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1020200100 = 2235233710091
BaseRepresentation
bin111100110011110…
…000010010100100
32122002200112102220
4330303300102210
54042132400400
6245122232340
734165362213
oct7463602244
92562615386
101020200100
11483970487
122457b56b0
131334906ca
14996c907a
155e8717a0
hex3ccf04a4

1020200100 has 72 divisors (see below), whose sum is σ = 2960831328. Its totient is φ = 271219200.

The previous prime is 1020200099. The next prime is 1020200113. The reversal of 1020200100 is 10020201.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96055 + ... + 106145.

Almost surely, 21020200100 is an apocalyptic number.

1020200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480415664).

1020200100 is an abundant number, since it is smaller than the sum of its proper divisors (1940631228).

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

1020200100 is a wasteful number, since it uses less digits than its factorization.

1020200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10445 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1020200100 is about 31940.5713787340. The cubic root of 1020200100 is about 1006.6885304863.

Adding to 1020200100 its reverse (10020201), we get a palindrome (1030220301).

The spelling of 1020200100 in words is "one billion, twenty million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 337 674 1011 1348 1685 2022 3370 4044 5055 6740 8425 10091 10110 16850 20182 20220 25275 30273 33700 40364 50455 50550 60546 100910 101100 121092 151365 201820 252275 302730 504550 605460 756825 1009100 1513650 3027300 3400667 6801334 10202001 13602668 17003335 20404002 34006670 40808004 51010005 68013340 85016675 102020010 170033350 204040020 255050025 340066700 510100050 1020200100