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211661242420 = 2251132828809
BaseRepresentation
bin1100010100011111111…
…1100100000000110100
3202020100000222011210211
43011013333210000310
511431440234224140
6241122534555204
721202106606215
oct3050777440064
9666300864724
10211661242420
1181846287231
1235030b08b04
1316c62235a14
14a35cb1b40c
15578c0cc2ea
hex3147fe4034

211661242420 has 36 divisors (see below), whose sum is σ = 448457487660. Its totient is φ = 83915152384.

The previous prime is 211661242411. The next prime is 211661242421. The reversal of 211661242420 is 24242166112.

It can be written as a sum of positive squares in 6 ways, for example, as 116300096784 + 95361145636 = 341028^2 + 308806^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211661242421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159025 + ... + 669784.

It is an arithmetic number, because the mean of its divisors is an integer number (12457152435).

Almost surely, 2211661242420 is an apocalyptic number.

211661242420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211661242420 is an abundant number, since it is smaller than the sum of its proper divisors (236796245240).

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

211661242420 is a wasteful number, since it uses less digits than its factorization.

211661242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829044 (or 828929 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 211661242420 in words is "two hundred eleven billion, six hundred sixty-one million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 12769 25538 51076 63845 127690 255380 828809 1657618 3315236 4144045 8288090 16576180 93655417 187310834 374621668 468277085 936554170 1873108340 10583062121 21166124242 42332248484 52915310605 105830621210 211661242420