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1001213132032 = 2873383139883
BaseRepresentation
bin11101001000111001111…
…00111111110100000000
310112201022021010220210001
432210130330333310000
5112400441030211112
62043541224045344
7132222665130061
oct16443474776400
93481267126701
101001213132032
11356680790a53
12142060303854
137354c70a349
143665d5d4568
151b09cee7c57
hexe91cf3fd00

1001213132032 has 72 divisors (see below), whose sum is σ = 2031196253184. Its totient is φ = 492456259584.

The previous prime is 1001213132027. The next prime is 1001213132041. The reversal of 1001213132032 is 2302313121001.

It is a congruent number.

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, 7087563 + ... + 7227445.

It is an arithmetic number, because the mean of its divisors is an integer number (28211059072).

Almost surely, 21001213132032 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 1001213132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015598126592).

1001213132032 is an abundant number, since it is smaller than the sum of its proper divisors (1029983121152).

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

1001213132032 is an equidigital number, since it uses as much as digits as its factorization.

1001213132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140355 (or 140341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1001213132032 its reverse (2302313121001), we get a palindrome (3303526253033).

It can be divided in two parts, 100121 and 3132032, that added together give a triangular number (3232153 = T2542).

The spelling of 1001213132032 in words is "one trillion, one billion, two hundred thirteen million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 383 584 766 1168 1532 2336 3064 4672 6128 9344 12256 18688 24512 27959 49024 55918 98048 111836 139883 223672 279766 447344 559532 894688 1119064 1789376 2238128 3578752 4476256 7157504 8952512 10211459 17905024 20422918 35810048 40845836 53575189 81691672 107150378 163383344 214300756 326766688 428601512 653533376 857203024 1307066752 1714406048 2614133504 3428812096 3910988797 6857624192 7821977594 13715248384 15643955188 31287910376 62575820752 125151641504 250303283008 500606566016 1001213132032