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112220111002131 = 32113795432355057
BaseRepresentation
bin11001100001000001000111…
…110110100101101000010011
3112201100010201111002002010100
4121201001013312211220103
5104202103241404032011
61034401112435303443
732431430651623116
oct3141010766455023
9481303644062110
10112220111002131
11328363110a77a0
121070501414ab83
134a80407525b52
141d9d6a781057d
15ce9181509d56
hex661047da5a13

112220111002131 has 48 divisors (see below), whose sum is σ = 177304748549760. Its totient is φ = 67830256085760.

The previous prime is 112220111002121. The next prime is 112220111002171. The reversal of 112220111002131 is 131200111022211.

It is a happy number.

It is not a de Polignac number, because 112220111002131 - 25 = 112220111002099 is a prime.

It is a super-2 number, since 2×1122201110021312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112220111002121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2038225755 + ... + 2038280811.

It is an arithmetic number, because the mean of its divisors is an integer number (3693848928120).

Almost surely, 2112220111002131 is an apocalyptic number.

112220111002131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112220111002131 is a deficient number, since it is larger than the sum of its proper divisors (65084637547629).

112220111002131 is a wasteful number, since it uses less digits than its factorization.

112220111002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109776 (or 109773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112220111002131 its reverse (131200111022211), we get a palindrome (243420222024342).

The spelling of 112220111002131 in words is "one hundred twelve trillion, two hundred twenty billion, one hundred eleven million, two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 379 1137 3411 4169 12507 37521 54323 55057 162969 165171 488907 495513 597553 605627 1792659 1816881 5377977 5450643 20588417 20866603 61765251 62599809 185295753 187799427 226472587 229532633 679417761 688597899 2038253283 2065793697 2990861411 8972584233 26917752699 32899475521 98698426563 296095279689 1133536474769 3400609424307 10201828272921 12468901222459 37406703667377 112220111002131