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1022341312032 = 25341594402393
BaseRepresentation
bin11101110000010000100…
…10100110111000100000
310121201211201112200001020
432320020102212320200
5113222223333441112
62101353534205440
7133601366525355
oct16701022467040
93551751480036
101022341312032
11364633022337
12146178053880
1375538a513c1
14376a567262c
151b8d7d1448c
hexee084a6e20

1022341312032 has 96 divisors (see below), whose sum is σ = 2795696285760. Its totient is φ = 326833582080.

The previous prime is 1022341312009. The next prime is 1022341312037. The reversal of 1022341312032 is 2302131432201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10223413120322 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1022341311993 and 1022341312011.

It is not an unprimeable number, because it can be changed into a prime (1022341312037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968973 + ... + 2433420.

It is an arithmetic number, because the mean of its divisors is an integer number (29121836310).

Almost surely, 21022341312032 is an apocalyptic number.

1022341312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022341312032 is an abundant number, since it is smaller than the sum of its proper divisors (1773354973728).

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

1022341312032 is a wasteful number, since it uses less digits than its factorization.

1022341312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402506 (or 4402498 counting only the distinct ones).

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

Adding to 1022341312032 its reverse (2302131432201), we get a palindrome (3324472744233).

The spelling of 1022341312032 in words is "one trillion, twenty-two billion, three hundred forty-one million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 59 82 96 118 123 164 177 236 246 328 354 472 492 656 708 944 984 1312 1416 1888 1968 2419 2832 3936 4838 5664 7257 9676 14514 19352 29028 38704 58056 77408 116112 232224 4402393 8804786 13207179 17609572 26414358 35219144 52828716 70438288 105657432 140876576 180498113 211314864 259741187 360996226 422629728 519482374 541494339 721992452 779223561 1038964748 1082988678 1443984904 1558447122 2077929496 2165977356 2887969808 3116894244 4155858992 4331954712 5775939616 6233788488 8311717984 8663909424 10649388667 12467576976 17327818848 21298777334 24935153952 31948166001 42597554668 63896332002 85195109336 127792664004 170390218672 255585328008 340780437344 511170656016 1022341312032