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1220334210200 = 235272237752387
BaseRepresentation
bin10001110000100001100…
…101100100110010011000
311022122220012010000102202
4101300201211210302120
5124443221024211300
62332340325145332
7154111006431500
oct21604145446230
94278805100382
101220334210200
114305a4936196
1217861355b248
138b1002aa851
14430c8d6aa00
1521b24e71ad5
hex11c21964c98

1220334210200 has 144 divisors (see below), whose sum is σ = 3301957489320. Its totient is φ = 418216296960.

The previous prime is 1220334210127. The next prime is 1220334210229. The reversal of 1220334210200 is 20124330221.

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 35 ways as a sum of consecutive naturals, for example, 23268407 + ... + 23320793.

Almost surely, 21220334210200 is an apocalyptic number.

1220334210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220334210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650978744660).

1220334210200 is an abundant number, since it is smaller than the sum of its proper divisors (2081623279120).

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

1220334210200 is a wasteful number, since it uses less digits than its factorization.

1220334210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54794 (or 54778 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1220334210200 its reverse (20124330221), we get a palindrome (1240458540421).

The spelling of 1220334210200 in words is "one trillion, two hundred twenty billion, three hundred thirty-four million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2377 2450 4754 4900 9508 9800 11885 16639 19016 23770 33278 47540 52387 59425 66556 83195 95080 104774 116473 118850 133112 166390 209548 232946 237700 261935 332780 366709 415975 419096 465892 475400 523870 582365 665560 733418 831950 931784 1047740 1164730 1309675 1466836 1663900 1833545 2095480 2329460 2566963 2619350 2911825 2933672 3327800 3667090 4658920 5133926 5238700 5823650 7334180 9167725 10267852 10477400 11647300 12834815 14668360 18335450 20535704 23294600 25669630 36670900 51339260 64174075 73341800 102678520 124523899 128348150 249047798 256696300 498095596 513392600 622619495 871667293 996191192 1245238990 1743334586 2490477980 3113097475 3486669172 4358336465 4980955960 6101671051 6226194950 6973338344 8716672930 12203342102 12452389900 17433345860 21791682325 24406684204 24904779800 30508355255 34866691720 43583364650 48813368408 61016710510 87166729300 122033421020 152541776275 174333458600 244066842040 305083552550 610167105100 1220334210200