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11211201100020 = 22352917935995637
BaseRepresentation
bin1010001100100100111110…
…1010001011100011110100
31110200210001212210012102010
42203021033222023203310
52432141014440200040
635502204340044220
72234661005001525
oct243111752134364
943623055705363
1011211201100020
113632709822369
121310980693670
1363429a21b75c
142aa8a711484c
15146968192e80
hexa324fa8b8f4

11211201100020 has 96 divisors (see below), whose sum is σ = 32655242793600. Its totient is φ = 2870435997184.

The previous prime is 11211201099979. The next prime is 11211201100027. The reversal of 11211201100020 is 2000110211211.

11211201100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11211201099969 and 11211201100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211201100027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17686359 + ... + 18309278.

It is an arithmetic number, because the mean of its divisors is an integer number (340158779100).

Almost surely, 211211201100020 is an apocalyptic number.

11211201100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211201100020 is an abundant number, since it is smaller than the sum of its proper divisors (21444041693580).

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

11211201100020 is a wasteful number, since it uses less digits than its factorization.

11211201100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35995857 (or 35995855 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11211201100020 its reverse (2000110211211), we get a palindrome (13211311311231).

The spelling of 11211201100020 in words is "eleven trillion, two hundred eleven billion, two hundred one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 179 290 348 358 435 537 580 716 870 895 1074 1740 1790 2148 2685 3580 5191 5370 10382 10740 15573 20764 25955 31146 51910 62292 77865 103820 155730 311460 35995637 71991274 107986911 143982548 179978185 215973822 359956370 431947644 539934555 719912740 1043873473 1079869110 2087746946 2159738220 3131620419 4175493892 5219367365 6263240838 6443219023 10438734730 12526481676 12886438046 15658102095 19329657069 20877469460 25772876092 31316204190 32216095115 38659314138 62632408380 64432190230 77318628276 96648285345 128864380460 186853351667 193296570690 373706703334 386593141380 560560055001 747413406668 934266758335 1121120110002 1868533516670 2242240220004 2802800275005 3737067033340 5605600550010 11211201100020