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1000132311300 = 2235219891971481
BaseRepresentation
bin11101000110111001000…
…01111111100100000100
310112121111221101112110120
432203130201333210010
5112341232332430200
62043242054221540
7132154132244163
oct16433441774404
93477457345416
101000132311300
11356176686381
121419ba3548b0
1373409813355
1436599c493da
151b03819e9a0
hexe8dc87f904

1000132311300 has 144 divisors (see below), whose sum is σ = 3080243476800. Its totient is φ = 249825945600.

The previous prime is 1000132311271. The next prime is 1000132311317. The reversal of 1000132311300 is 31132310001.

1000132311300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1000132311300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478441 + ... + 1493040.

It is an arithmetic number, because the mean of its divisors is an integer number (21390579700).

Almost surely, 21000132311300 is an apocalyptic number.

1000132311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000132311300 is an abundant number, since it is smaller than the sum of its proper divisors (2080111165500).

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

1000132311300 is a wasteful number, since it uses less digits than its factorization.

1000132311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971606 (or 1971599 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1000132311300 its reverse (31132310001), we get a palindrome (1031264621301).

The spelling of 1000132311300 in words is "one trillion, one hundred thirty-two million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 89 95 100 114 150 178 190 228 267 285 300 356 380 445 475 534 570 890 950 1068 1140 1335 1425 1691 1780 1900 2225 2670 2850 3382 4450 5073 5340 5700 6675 6764 8455 8900 10146 13350 16910 20292 25365 26700 33820 42275 50730 84550 101460 126825 169100 253650 507300 1971481 3942962 5914443 7885924 9857405 11828886 19714810 23657772 29572215 37458139 39429620 49287025 59144430 74916278 98574050 112374417 118288860 147861075 149832556 175461809 187290695 197148100 224748834 295722150 350923618 374581390 449497668 526385427 561872085 591444300 701847236 749162780 877309045 936453475 1052770854 1123744170 1754618090 1872906950 2105541708 2247488340 2631927135 2809360425 3333774371 3509236180 3745813900 4386545225 5263854270 5618720850 6667548742 8773090450 10001323113 10527708540 11237441700 13159635675 13335097484 16668871855 17546180900 20002646226 26319271350 33337743710 40005292452 50006615565 52638542700 66675487420 83344359275 100013231130 166688718550 200026462260 250033077825 333377437100 500066155650 1000132311300