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1132002313312 = 251329193148593
BaseRepresentation
bin10000011110010000100…
…110001000010001100000
311000012220012001201121011
4100132100212020101200
5122021320043011222
62224011254110304
7144533033621353
oct20362046102140
94005805051534
101132002313312
113a7096881712
1216348134b394
1382993c47640
143cb0981029a
151e6a5297c77
hex10790988460

1132002313312 has 96 divisors (see below), whose sum is σ = 2484160267680. Its totient is φ = 504175042560.

The previous prime is 1132002313303. The next prime is 1132002313319. The reversal of 1132002313312 is 2133132002311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132002313319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23271288 + ... + 23319880.

It is an arithmetic number, because the mean of its divisors is an integer number (25876669455).

Almost surely, 21132002313312 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 1132002313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242080133840).

1132002313312 is an abundant number, since it is smaller than the sum of its proper divisors (1352157954368).

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

1132002313312 is a wasteful number, since it uses less digits than its factorization.

1132002313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50576 (or 50568 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1132002313312 its reverse (2133132002311), we get a palindrome (3265134315623).

The spelling of 1132002313312 in words is "one trillion, one hundred thirty-two billion, two million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 1931 3016 3862 6032 7724 12064 15448 25103 30896 48593 50206 55999 61792 97186 100412 111998 194372 200824 223996 388744 401648 447992 631709 727987 777488 803296 895984 1263418 1409197 1455974 1554976 1791968 2526836 2818394 2911948 5053672 5636788 5823896 10107344 11273576 11647792 18319561 20214688 22547152 23295584 36639122 45094304 73278244 93833083 146556488 187666166 293112976 375332332 586225952 750664664 1219830079 1501329328 2439660158 2721159407 3002658656 4879320316 5442318814 9758640632 10884637628 19517281264 21769275256 35375072291 39034562528 43538550512 70750144582 87077101024 141500289164 283000578328 566001156656 1132002313312