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2210132000100 = 2235237199110991
BaseRepresentation
bin100000001010010110001…
…000011111110101100100
321211021201220021110200110
4200022112020133311210
5242202322243000400
64411153131013020
7315451063014663
oct40122610376544
97737656243613
102210132000100
11782347994692
122b840889a170
13130550a0997b
1478d84454dda
153c755bd5e50
hex2029621fd64

2210132000100 has 72 divisors (see below), whose sum is σ = 6567476960128. Its totient is φ = 573439651200.

The previous prime is 2210131999997. The next prime is 2210132000107. The reversal of 2210132000100 is 10002310122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2210132000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99544396 + ... + 99566595.

Almost surely, 22210132000100 is an apocalyptic number.

2210132000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210132000100 is an abundant number, since it is smaller than the sum of its proper divisors (4357344960028).

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

2210132000100 is a wasteful number, since it uses less digits than its factorization.

2210132000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199111045 (or 199111038 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2210132000100 its reverse (10002310122), we get a palindrome (2220134310222).

The spelling of 2210132000100 in words is "two trillion, two hundred ten billion, one hundred thirty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 199110991 398221982 597332973 796443964 995554955 1194665946 1991109910 2389331892 2986664865 3982219820 4977774775 5973329730 7367106667 9955549550 11946659460 14734213334 14933324325 19911099100 22101320001 29468426668 29866648650 36835533335 44202640002 59733297300 73671066670 88405280004 110506600005 147342133340 184177666675 221013200010 368355333350 442026400020 552533000025 736710666700 1105066000050 2210132000100