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1001321113232 = 241131393146687
BaseRepresentation
bin11101001001000110110…
…00111010011010010000
310112201120210022221010202
432210203120322122100
5112401201201110412
62044000042314332
7132225446013056
oct16444330723220
93481523287122
101001321113232
11356726733910
121420904b89a8
1373568bb684b
143666daa21d6
151b0a77273c2
hexe92363a690

1001321113232 has 80 divisors (see below), whose sum is σ = 2185303179264. Its totient is φ = 440342352000.

The previous prime is 1001321113171. The next prime is 1001321113249. The reversal of 1001321113232 is 2323111231001.

It is a happy number.

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, 21424193 + ... + 21470879.

Almost surely, 21001321113232 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 1001321113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092651589632).

1001321113232 is an abundant number, since it is smaller than the sum of its proper divisors (1183982066032).

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

1001321113232 is a wasteful number, since it uses less digits than its factorization.

1001321113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50668 (or 50662 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1001321113232 its reverse (2323111231001), we get a palindrome (3324432344233).

The spelling of 1001321113232 in words is "one trillion, one billion, three hundred twenty-one million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 3931 5456 7862 15724 31448 43241 46687 62896 86482 93374 121861 172964 186748 243722 345928 373496 487444 513557 691856 746992 974888 1027114 1340471 1447297 1949776 2054228 2680942 2894594 4108456 5361884 5789188 8216912 10723768 11578376 15920267 21447536 23156752 31840534 63681068 127362136 183526597 254724272 367053194 734106388 1468212776 2018792567 2936425552 4037585134 5689324507 8075170268 11378649014 16150340536 22757298028 32300681072 45514596056 62582569577 91029192112 125165139154 250330278308 500660556616 1001321113232