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4102214021300 = 2252277161391813
BaseRepresentation
bin111011101100011111000…
…000100111000010110100
3112112011112100101222102202
4323230133000213002310
51014202313242140200
612420310415124032
7602242454566163
oct73543700470264
915464470358382
104102214021300
11134181496373a
12563053213618
13239ab6208845
1410279644b3da
1571a947811d5
hex3bb1f0270b4

4102214021300 has 72 divisors (see below), whose sum is σ = 8939576981496. Its totient is φ = 1633930421760.

The previous prime is 4102214021281. The next prime is 4102214021341. The reversal of 4102214021300 is 31204122014.

4102214021300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 279453905956 + 3822760115344 = 528634^2 + 1955188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44634194 + ... + 44726006.

Almost surely, 24102214021300 is an apocalyptic number.

It is an amenable number.

4102214021300 is an abundant number, since it is smaller than the sum of its proper divisors (4837362960196).

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

4102214021300 is a wasteful number, since it uses less digits than its factorization.

4102214021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93717 (or 93710 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4102214021300 its reverse (31204122014), we get a palindrome (4133418143314).

The spelling of 4102214021300 in words is "four trillion, one hundred two billion, two hundred fourteen million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 277 554 1108 1385 1613 2770 3226 5540 6452 6925 8065 13850 16130 27700 32260 40325 80650 91813 161300 183626 367252 446801 459065 893602 918130 1787204 1836260 2234005 2295325 4468010 4590650 8936020 9181300 11170025 22340050 25432201 44680100 50864402 101728804 127161005 148094369 254322010 296188738 508644020 592377476 635805025 740471845 1271610050 1480943690 2543220100 2961887380 3702359225 7404718450 14809436900 41022140213 82044280426 164088560852 205110701065 410221402130 820442804260 1025553505325 2051107010650 4102214021300