Search a number
-
+
21132201133200 = 2435229607247159
BaseRepresentation
bin1001100111000001110010…
…10101111000010010010000
32202211012220102122022212110
410303200321111320102100
510232212221442230300
6112535555453425320
74310515433614143
oct463407125702220
982735812568773
1021132201133200
116808130696003
12245368b49b240
13ba39b1491481
14530b3822405a
15269a6c803550
hex133839578490

21132201133200 has 120 divisors (see below), whose sum is σ = 70027742491200. Its totient is φ = 5440934535680.

The previous prime is 21132201133159. The next prime is 21132201133259. The reversal of 21132201133200 is 233110223112.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 303588780 + ... + 303658379.

It is an arithmetic number, because the mean of its divisors is an integer number (583564520760).

Almost surely, 221132201133200 is an apocalyptic number.

21132201133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132201133200 is an abundant number, since it is smaller than the sum of its proper divisors (48895541358000).

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

21132201133200 is a wasteful number, since it uses less digits than its factorization.

21132201133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607247209 (or 607247198 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21132201133200 its reverse (233110223112), we get a palindrome (21365311356312).

The spelling of 21132201133200 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred one million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 607247159 1214494318 1821741477 2428988636 3036235795 3643482954 4857977272 6072471590 7286965908 9108707385 9715954544 12144943180 14573931816 15181178975 17610167611 18217414770 24289886360 29147863632 30362357950 35220335222 36434829540 45543536925 48579772720 52830502833 60724715900 70440670444 72869659080 88050838055 91087073850 105661005666 121449431800 140881340888 145739318160 176101676110 182174147700 211322011332 242898863600 264152514165 281762681776 352203352220 364348295400 422644022664 440254190275 528305028330 704406704440 728696590800 845288045328 880508380550 1056610056660 1320762570825 1408813408880 1761016761100 2113220113320 2641525141650 3522033522200 4226440226640 5283050283300 7044067044400 10566100566600 21132201133200