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3121221400 = 2352112336089
BaseRepresentation
bin1011101000001010…
…0000111100011000
322001112010110211121
42322002200330120
522343013041100
61233414335024
7140226641563
oct27202407430
98045113747
103121221400
111361936920
1273135a474
133a984838b
1421875d4da
1513403b51a
hexba0a0f18

3121221400 has 96 divisors (see below), whose sum is σ = 7951834800. Its totient is φ = 1129932800.

The previous prime is 3121221379. The next prime is 3121221401. The reversal of 3121221400 is 41221213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121221401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509556 + ... + 515644.

Almost surely, 23121221400 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 3121221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975917400).

3121221400 is an abundant number, since it is smaller than the sum of its proper divisors (4830613400).

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

3121221400 is a wasteful number, since it uses less digits than its factorization.

3121221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3121221400 is about 55867.8923890995. The cubic root of 3121221400 is about 1461.4193677943.

Adding to 3121221400 its reverse (41221213), we get a palindrome (3162442613).

The spelling of 3121221400 in words is "three billion, one hundred twenty-one million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 233 275 440 466 550 932 1100 1165 1864 2200 2330 2563 4660 5126 5825 6089 9320 10252 11650 12178 12815 20504 23300 24356 25630 30445 46600 48712 51260 60890 64075 66979 102520 121780 128150 133958 152225 243560 256300 267916 304450 334895 512600 535832 608900 669790 1217800 1339580 1418737 1674475 2679160 2837474 3348950 5674948 6697900 7093685 11349896 13395800 14187370 15606107 28374740 31212214 35468425 56749480 62424428 70936850 78030535 124848856 141873700 156061070 283747400 312122140 390152675 624244280 780305350 1560610700 3121221400