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1023222213312 = 263132931399129
BaseRepresentation
bin11101110001111001100…
…10111110101011000000
310121211010010010002102120
432320330302332223000
5113231024341311222
62102021203044240
7133632254210565
oct16707462765300
93554103102376
101023222213312
11364a4529a522
12146383070680
13756493bb970
143774a65a86c
151b93a31c15c
hexee3ccbeac0

1023222213312 has 112 divisors (see below), whose sum is σ = 2925480092640. Its totient is φ = 313762848768.

The previous prime is 1023222213287. The next prime is 1023222213323. The reversal of 1023222213312 is 2133122223201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31764 + ... + 1430892.

It is an arithmetic number, because the mean of its divisors is an integer number (26120357970).

Almost surely, 21023222213312 is an apocalyptic number.

1023222213312 is a gapful number since it is divisible by the number (12) 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 1023222213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462740046320).

1023222213312 is an abundant number, since it is smaller than the sum of its proper divisors (1902257879328).

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

1023222213312 is a wasteful number, since it uses less digits than its factorization.

1023222213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399450 (or 1399440 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1023222213312 its reverse (2133122223201), we get a palindrome (3156344436513).

The spelling of 1023222213312 in words is "one trillion, twenty-three billion, two hundred twenty-two million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 293 312 416 586 624 832 879 1172 1248 1758 2344 2496 3516 3809 4688 7032 7618 9376 11427 14064 15236 18752 22854 28128 30472 45708 56256 60944 91416 121888 182832 243776 365664 731328 1399129 2798258 4197387 5596516 8394774 11193032 16789548 18188677 22386064 33579096 36377354 44772128 54566031 67158192 72754708 89544256 109132062 134316384 145509416 218264124 268632768 291018832 409944797 436528248 582037664 819889594 873056496 1164075328 1229834391 1639779188 1746112992 2459668782 3279558376 3492225984 4919337564 5329282361 6559116752 9838675128 10658564722 13118233504 15987847083 19677350256 21317129444 26236467008 31975694166 39354700512 42634258888 63951388332 78709401024 85268517776 127902776664 170537035552 255805553328 341074071104 511611106656 1023222213312