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1131333310432 = 251361193230999
BaseRepresentation
bin10000011101101000101…
…110000101011111100000
311000011011120012212011201
4100131220232011133200
5122013432311413212
62223421035050544
7144510331320553
oct20355056053740
94004146185151
101131333310432
113a6883183976
121633152a0a54
13828b846c050
143ca84a2469a
151e666699b57
hex10768b857e0

1131333310432 has 96 divisors (see below), whose sum is σ = 2450608776000. Its totient is φ = 510930616320.

The previous prime is 1131333310363. The next prime is 1131333310433. The reversal of 1131333310432 is 2340133331311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131333310432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131333310433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4782069 + ... + 5013067.

It is an arithmetic number, because the mean of its divisors is an integer number (25527174750).

Almost surely, 21131333310432 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 1131333310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225304388000).

1131333310432 is an abundant number, since it is smaller than the sum of its proper divisors (1319275465568).

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

1131333310432 is a wasteful number, since it uses less digits than its factorization.

1131333310432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231276 (or 231268 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 1131333310432 its reverse (2340133331311), we get a palindrome (3471466641743).

The spelling of 1131333310432 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-three million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 193 208 244 386 416 488 772 793 976 1544 1586 1952 2509 3088 3172 5018 6176 6344 10036 11773 12688 20072 23546 25376 40144 47092 80288 94184 153049 188368 230999 306098 376736 461998 612196 923996 1224392 1847992 2448784 3002987 3695984 4897568 6005974 7391968 12011948 14090939 24023896 28181878 44582807 48047792 56363756 89165614 96095584 112727512 178331228 183182207 225455024 356662456 366364414 450910048 579576491 713324912 732728828 1159152982 1426649824 1465457656 2318305964 2719551227 2930915312 4636611928 5439102454 5861830624 9273223856 10878204908 18546447712 21756409816 35354165951 43512819632 70708331902 87025639264 141416663804 282833327608 565666655216 1131333310432