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1022012133032 = 231143217336307
BaseRepresentation
bin11101101111101001010…
…10111000111010101000
310121200222210010122100102
432313310222320322220
5113221040101224112
62101301134524532
7133560261540002
oct16676452707250
93550883118312
101022012133032
11364484229280
121460a5966748
13754b57a8227
1437673a65372
151b8b8e8ebc2
hexedf4ab8ea8

1022012133032 has 96 divisors (see below), whose sum is σ = 2152656298080. Its totient is φ = 451112215680.

The previous prime is 1022012132969. The next prime is 1022012133041. The reversal of 1022012133032 is 2303312102201.

It is a junction number, because it is equal to n+sod(n) for n = 1022012132995 and 1022012133013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28131023 + ... + 28167329.

It is an arithmetic number, because the mean of its divisors is an integer number (22423503105).

Almost surely, 21022012133032 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 1022012133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076328149040).

1022012133032 is an abundant number, since it is smaller than the sum of its proper divisors (1130644165048).

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

1022012133032 is a wasteful number, since it uses less digits than its factorization.

1022012133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36583 (or 36536 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1022012133032 its reverse (2303312102201), we get a palindrome (3325324235233).

The spelling of 1022012133032 in words is "one trillion, twenty-two billion, twelve million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 173 344 346 473 692 946 1384 1849 1892 1903 3698 3784 3806 7396 7439 7612 14792 14878 15224 20339 29756 36307 40678 59512 72614 81356 81829 145228 162712 163658 290456 319877 327316 399377 639754 654632 798754 1279508 1561201 1597508 2559016 3122402 3195016 3518647 6244804 6281111 7037294 12489608 12562222 14074588 17173211 25124444 28149176 34346422 50248888 67131643 68692844 69092221 134263286 137385688 138184442 268526572 270087773 276368884 537053144 540175546 552737768 738448073 1080351092 1476896146 2160702184 2953792292 2970965503 5907584584 5941931006 11613774239 11883862012 23227548478 23767724024 46455096956 92910193912 127751516629 255503033258 511006066516 1022012133032