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2123210351376 = 243231239172
BaseRepresentation
bin11110111001011001001…
…100101110001100010000
321111222101011212012122100
4132321121030232030100
5234241313322221001
64303220034240400
7306253063132332
oct36713114561420
97458334765570
102123210351376
117494a2989464
122a35aaa26100
131252aa8a2a2a
1474a9a317452
153a369c28586
hex1ee5932e310

2123210351376 has 135 divisors (see below), whose sum is σ = 6141469878453. Its totient is φ = 684731710080.

The previous prime is 2123210351347. The next prime is 2123210351413. The reversal of 2123210351376 is 6731530123212.

The square root of 2123210351376 is 1457124.

It is a perfect power (a square), and thus also a powerful number.

2123210351376 is a `hidden beast` number, since 2 + 1 + 2 + 32 + 103 + 513 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1719507690000 + 403702661376 = 1311300^2 + 635376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2123210351376.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 542048170 + ... + 542052086.

Almost surely, 22123210351376 is an apocalyptic number.

2123210351376 is the 1457124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123210351376

2123210351376 is an abundant number, since it is smaller than the sum of its proper divisors (4018259527077).

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

2123210351376 is an frugal number, since it uses more digits than its factorization.

2123210351376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7910 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 2123210351376 by its sum of digits (36), we get a square (76435572649536 = 87427442).

2123210351376 divided by its sum of digits (36) gives a square (58978065316 = 2428542).

Adding to 2123210351376 its reverse (6731530123212), we get a palindrome (8854740474588).

The spelling of 2123210351376 in words is "two trillion, one hundred twenty-three billion, two hundred ten million, three hundred fifty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1116 1488 1922 2232 2883 3844 3917 4464 5766 7688 7834 8649 11532 11751 15376 15668 17298 23064 23502 31336 34596 35253 46128 47004 62672 69192 70506 94008 121427 138384 141012 188016 242854 282024 364281 485708 564048 728562 971416 1092843 1457124 1942832 2185686 2914248 3764237 4371372 5828496 7528474 8742744 11292711 15056948 15342889 17485488 22585422 30113896 30685778 33878133 45170844 46028667 60227792 61371556 67756266 90341688 92057334 122743112 135512532 138086001 180683376 184114668 245486224 271025064 276172002 368229336 475629559 542050128 552344004 736458672 951259118 1104688008 1426888677 1902518236 2209376016 2853777354 3805036472 4280666031 5707554708 7610072944 8561332062 11415109416 14744516329 17122664124 22830218832 29489032658 34245328248 44233548987 58978065316 68490656496 88467097974 117956130632 132700646961 176934195948 235912261264 265401293922 353868391896 530802587844 707736783792 1061605175688 2123210351376