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1132113201000 = 233532663141709
BaseRepresentation
bin10000011110010111001…
…101001000011101101000
311000020011220201101220120
4100132113031020131220
5122022031434413000
62224030254523240
7144535551301155
oct20362715103550
94006156641816
101132113201000
113a714342a231
121634b2506520
13829b0c00a62
143cb1a43722c
151e6aed9d6a0
hex10797348768

1132113201000 has 128 divisors (see below), whose sum is σ = 3533544518400. Its totient is φ = 301781356800.

The previous prime is 1132113200963. The next prime is 1132113201013. The reversal of 1132113201000 is 1023112311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7918146 + ... + 8059854.

It is an arithmetic number, because the mean of its divisors is an integer number (27605816550).

Almost surely, 21132113201000 is an apocalyptic number.

1132113201000 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 1132113201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766772259200).

1132113201000 is an abundant number, since it is smaller than the sum of its proper divisors (2401431317400).

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

1132113201000 is a wasteful number, since it uses less digits than its factorization.

1132113201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144396 (or 144382 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1132113201000 its reverse (1023112311), we get a palindrome (1133136313311).

The spelling of 1132113201000 in words is "one trillion, one hundred thirty-two billion, one hundred thirteen million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2663 3000 5326 7989 10652 13315 15978 21304 26630 31956 39945 53260 63912 66575 79890 106520 133150 141709 159780 199725 266300 283418 319560 332875 399450 425127 532600 566836 665750 708545 798900 850254 998625 1133672 1331500 1417090 1597800 1700508 1997250 2125635 2663000 2834180 3401016 3542725 3994500 4251270 5668360 7085450 7989000 8502540 10628175 14170900 17005080 17713625 21256350 28341800 35427250 42512700 53140875 70854500 85025400 106281750 141709000 212563500 377371067 425127000 754742134 1132113201 1509484268 1886855335 2264226402 3018968536 3773710670 4528452804 5660566005 7547421340 9056905608 9434276675 11321132010 15094842680 18868553350 22642264020 28302830025 37737106700 45284528040 47171383375 56605660050 75474213400 94342766750 113211320100 141514150125 188685533500 226422640200 283028300250 377371067000 566056600500 1132113201000