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3311021300000 = 255553624721
BaseRepresentation
bin110000001011101000001…
…111111001100100100000
3102201112022202201100112112
4300023220033321210200
5413221432423100000
611013021233214452
7461133123454421
oct60135017714440
912645282640475
103311021300000
111067218229877
12455846401428
131b02c6b031ab
14b637ba91648
155b1d979d235
hex302e83f9920

3311021300000 has 144 divisors (see below), whose sum is σ = 8301438377064. Its totient is φ = 1299417600000.

The previous prime is 3311021299981. The next prime is 3311021300011. The reversal of 3311021300000 is 31201133.

It can be written as a sum of positive squares in 12 ways, for example, as 997130062096 + 2313891237904 = 998564^2 + 1521148^2 .

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, 4987640 + ... + 5612360.

Almost surely, 23311021300000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311021300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150719188532).

3311021300000 is an abundant number, since it is smaller than the sum of its proper divisors (4990417077064).

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

3311021300000 is an frugal number, since it uses more digits than its factorization.

3311021300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624809 (or 624781 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 3311021300000 its reverse (31201133), we get a palindrome (3311052501133).

The spelling of 3311021300000 in words is "three trillion, three hundred eleven billion, twenty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 625 800 848 1000 1060 1250 1325 1696 2000 2120 2500 2650 3125 4000 4240 5000 5300 6250 6625 8480 10000 10600 12500 13250 20000 21200 25000 26500 33125 42400 50000 53000 66250 100000 106000 132500 165625 212000 265000 331250 530000 624721 662500 1060000 1249442 1325000 2498884 2650000 3123605 4997768 5300000 6247210 9995536 12494420 15618025 19991072 24988840 31236050 33110213 49977680 62472100 66220426 78090125 99955360 124944200 132440852 156180250 165551065 249888400 264881704 312360500 331102130 390450625 499776800 529763408 624721000 662204260 780901250 827755325 1059526816 1249442000 1324408520 1561802500 1655510650 1952253125 2498884000 2648817040 3123605000 3311021300 3904506250 4138776625 5297634080 6247210000 6622042600 7809012500 8277553250 12494420000 13244085200 15618025000 16555106500 20693883125 26488170400 31236050000 33110213000 41387766250 62472100000 66220426000 82775532500 103469415625 132440852000 165551065000 206938831250 331102130000 413877662500 662204260000 827755325000 1655510650000 3311021300000