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100020011201100 = 22345212348149531
BaseRepresentation
bin10110101111011110111001…
…001111001111001001001100
3111010010211010112220212120000
4112233132321033033021030
5101102211440331413400
6552420320412124300
730032131055430354
oct2657367117171114
9433124115825500
10100020011201100
1129962280896801
12b27466b466690
1343a6b00c43043
141a9adcc7b1b64
15b86b3b4ee600
hex5af7b93cf24c

100020011201100 has 90 divisors (see below), whose sum is σ = 324225362261724. Its totient is φ = 26672002984800.

The previous prime is 100020011201029. The next prime is 100020011201107. The reversal of 100020011201100 is 1102110020001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100020011201107) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6174066666 + ... + 6174082865.

Almost surely, 2100020011201100 is an apocalyptic number.

100020011201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020011201100 is an abundant number, since it is smaller than the sum of its proper divisors (224205351060624).

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

100020011201100 is a wasteful number, since it uses less digits than its factorization.

100020011201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12348149557 (or 12348149541 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100020011201100 its reverse (1102110020001), we get a palindrome (101122121221101).

The spelling of 100020011201100 in words is "one hundred trillion, twenty billion, eleven million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 12348149531 24696299062 37044448593 49392598124 61740747655 74088897186 111133345779 123481495310 148177794372 185222242965 222266691558 246962990620 308703738275 333400037337 370444485930 444533383116 555666728895 617407476550 666800074674 740888971860 926111214825 1000200112011 1111333457790 1234814953100 1333600149348 1667000186685 1852222429650 2000400224022 2222666915580 2778333644475 3334000373370 3704444859300 4000800448044 5001000560055 5556667288950 6668000746740 8335000933425 10002001120110 11113334577900 16670001866850 20004002240220 25005002800275 33340003733700 50010005600550 100020011201100