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211120002100 = 22527570152903
BaseRepresentation
bin1100010010011110111…
…0111001010000110100
3202011221022112022200001
43010213232321100310
511424333210031400
6240553122201044
721152515260130
oct3044756712064
9664838468601
10211120002100
1181598812387
1234abb7b3184
1316ba7071687
14a30acac3c0
155759819a6a
hex3127bb9434

211120002100 has 72 divisors (see below), whose sum is σ = 523679343488. Its totient is φ = 72369936000.

The previous prime is 211120002047. The next prime is 211120002143. The reversal of 211120002100 is 1200021112.

211120002100 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 (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3964249 + ... + 4017151.

Almost surely, 2211120002100 is an apocalyptic number.

211120002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120002100 is an abundant number, since it is smaller than the sum of its proper divisors (312559341388).

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

211120002100 is a wasteful number, since it uses less digits than its factorization.

211120002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58625 (or 58618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211120002100 its reverse (1200021112), we get a palindrome (212320023212).

The spelling of 211120002100 in words is "two hundred eleven billion, one hundred twenty million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 5701 11402 22804 28505 39907 52903 57010 79814 105806 114020 142525 159628 199535 211612 264515 285050 370321 399070 529030 570100 740642 798140 997675 1058060 1322575 1481284 1851605 1995350 2645150 3703210 3990700 5290300 7406420 9258025 18516050 37032100 301600003 603200006 1206400012 1508000015 2111200021 3016000030 4222400042 6032000060 7540000075 8444800084 10556000105 15080000150 21112000210 30160000300 42224000420 52780000525 105560001050 211120002100