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221311341312 = 2831312199739
BaseRepresentation
bin1100111000011100101…
…1110001001100000000
3210011020120022222211220
43032013023301030000
512111221200410222
6245400302035040
721663205235265
oct3160713611400
9704216288756
10221311341312
1185948534376
1236a84878a80
1317b3c5a2cc9
14a9d65db26c
155b543c0b5c
hex33872f1300

221311341312 has 72 divisors (see below), whose sum is σ = 593507449920. Its totient is φ = 73207280640.

The previous prime is 221311341301. The next prime is 221311341341. The reversal of 221311341312 is 213143113122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999262 + ... + 1200477.

Almost surely, 2221311341312 is an apocalyptic number.

It is an amenable number.

221311341312 is an abundant number, since it is smaller than the sum of its proper divisors (372196108608).

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

221311341312 is a wasteful number, since it uses less digits than its factorization.

221311341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199889 (or 2199875 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 221311341312 its reverse (213143113122), we get a palindrome (434454454434).

The spelling of 221311341312 in words is "two hundred twenty-one billion, three hundred eleven million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 524 768 786 1048 1572 2096 3144 4192 6288 8384 12576 16768 25152 33536 50304 100608 2199739 4399478 6599217 8798956 13198434 17597912 26396868 35195824 52793736 70391648 105587472 140783296 211174944 281566592 288165809 422349888 563133184 576331618 844699776 864497427 1152663236 1689399552 1728994854 2305326472 3457989708 4610652944 6915979416 9221305888 13831958832 18442611776 27663917664 36885223552 55327835328 73770447104 110655670656 221311341312