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1132340020400 = 245223294244153
BaseRepresentation
bin10000011110100100101…
…110011000010010110000
311000020202201112000122002
4100132210232120102300
5122023013021123100
62224105000233132
7144544304236211
oct20364456302260
94006681460562
101132340020400
113a724a46aa86
1216355646b7a8
1382a18bb8414
143cb3c5db408
151e6c4c542d5
hex107a4b984b0

1132340020400 has 120 divisors (see below), whose sum is σ = 2936615035680. Its totient is φ = 418303621120.

The previous prime is 1132340020387. The next prime is 1132340020403. The reversal of 1132340020400 is 40200432311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1132340020403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1855277 + ... + 2388876.

It is an arithmetic number, because the mean of its divisors is an integer number (24471791964).

Almost surely, 21132340020400 is an apocalyptic number.

1132340020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132340020400 is an abundant number, since it is smaller than the sum of its proper divisors (1804275015280).

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

1132340020400 is a wasteful number, since it uses less digits than its factorization.

1132340020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244223 (or 4244212 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1132340020400 its reverse (40200432311), we get a palindrome (1172540452711).

The spelling of 1132340020400 in words is "one trillion, one hundred thirty-two billion, three hundred forty million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 29 40 46 50 58 80 92 100 115 116 145 184 200 230 232 290 368 400 460 464 575 580 667 725 920 1150 1160 1334 1450 1840 2300 2320 2668 2900 3335 4600 5336 5800 6670 9200 10672 11600 13340 16675 26680 33350 53360 66700 133400 266800 4244153 8488306 16976612 21220765 33953224 42441530 67906448 84883060 97615519 106103825 123080437 169766120 195231038 212207650 246160874 339532240 390462076 424415300 488077595 492321748 615402185 780924152 848830600 976155190 984643496 1230804370 1561848304 1697661200 1952310380 1969286992 2440387975 2461608740 2830850051 3077010925 3904620760 4880775950 4923217480 5661700102 6154021850 7809241520 9761551900 9846434960 11323400204 12308043700 14154250255 19523103800 22646800408 24616087400 28308500510 39046207600 45293600816 49232174800 56617001020 70771251275 113234002040 141542502550 226468004080 283085005100 566170010200 1132340020400