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20035033100 = 22524710739839
BaseRepresentation
bin10010101010001011…
…100101100000001100
31220201021110010121222
4102222023211200030
5312012432024400
613112020142512
71306325654135
oct225213454014
956637403558
1020035033100
1185512879a5
123a71837a38
131b73a22794
14d80c04c8c
157c3d8b185
hex4aa2e580c

20035033100 has 72 divisors (see below), whose sum is σ = 44817131520. Its totient is φ = 7770003520.

The previous prime is 20035033033. The next prime is 20035033127. The reversal of 20035033100 is 133053002.

It is a super-2 number, since 2×200350331002 (a number of 21 digits) contains 22 as substring.

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, 482981 + ... + 522819.

It is an arithmetic number, because the mean of its divisors is an integer number (622460160).

Almost surely, 220035033100 is an apocalyptic number.

20035033100 is a gapful number since it is divisible by the number (20) 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 20035033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22408565760).

20035033100 is an abundant number, since it is smaller than the sum of its proper divisors (24782098420).

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

20035033100 is a wasteful number, since it uses less digits than its factorization.

20035033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40007 (or 40000 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

Adding to 20035033100 its reverse (133053002), we get a palindrome (20168086102).

The spelling of 20035033100 in words is "twenty billion, thirty-five million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 107 188 214 235 428 470 535 940 1070 1175 2140 2350 2675 4700 5029 5350 10058 10700 20116 25145 39839 50290 79678 100580 125725 159356 199195 251450 398390 502900 796780 995975 1872433 1991950 3744866 3983900 4262773 7489732 8525546 9362165 17051092 18724330 21313865 37448660 42627730 46810825 85255460 93621650 106569325 187243300 200350331 213138650 400700662 426277300 801401324 1001751655 2003503310 4007006620 5008758275 10017516550 20035033100