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1130204401400 = 2352231663147743
BaseRepresentation
bin10000011100100101011…
…011101000111011111000
311000001020212222100010002
4100130211123220323320
5122004124311321100
62223113030412132
7144440342621564
oct20344533507370
94001225870102
101130204401400
113a6353a138a8
1216305b201048
1382768608b39
143c9b8b1c6a4
151e5ec5032d5
hex107256e8ef8

1130204401400 has 96 divisors (see below), whose sum is σ = 2743641538560. Its totient is φ = 432163079040.

The previous prime is 1130204401387. The next prime is 1130204401409. The reversal of 1130204401400 is 41044020311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130204401409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7575929 + ... + 7723671.

It is an arithmetic number, because the mean of its divisors is an integer number (28579599360).

Almost surely, 21130204401400 is an apocalyptic number.

1130204401400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130204401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371820769280).

1130204401400 is an abundant number, since it is smaller than the sum of its proper divisors (1613437137160).

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

1130204401400 is a wasteful number, since it uses less digits than its factorization.

1130204401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149445 (or 149436 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1130204401400 its reverse (41044020311), we get a palindrome (1171248421711).

The spelling of 1130204401400 in words is "one trillion, one hundred thirty billion, two hundred four million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1663 2300 3326 4600 6652 8315 13304 16630 33260 38249 41575 66520 76498 83150 147743 152996 166300 191245 295486 305992 332600 382490 590972 738715 764980 956225 1181944 1477430 1529960 1912450 2954860 3398089 3693575 3824900 5909720 6796178 7387150 7649800 13592356 14774300 16990445 27184712 29548600 33980890 67961780 84952225 135923560 169904450 245696609 339808900 491393218 679617800 982786436 1228483045 1965572872 2456966090 4913932180 5651022007 6142415225 9827864360 11302044014 12284830450 22604088028 24569660900 28255110035 45208176056 49139321800 56510220070 113020440140 141275550175 226040880280 282551100350 565102200700 1130204401400