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132013132200 = 233252233188723
BaseRepresentation
bin111101011110010011…
…0001000100110101000
3110121202012222221211200
41322330212020212220
54130330330212300
6140351311324200
712352260052305
oct1727446104650
9417665887750
10132013132200
1150a93a76154
1221702b20660
13c5aac99311
1465649c20ac
15367996c200
hex1ebc9889a8

132013132200 has 144 divisors (see below), whose sum is σ = 462620077920. Its totient is φ = 33672904320.

The previous prime is 132013132193. The next prime is 132013132211. The reversal of 132013132200 is 2231310231.

132013132200 is a `hidden beast` number, since 1 + 320 + 13 + 132 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1552962 + ... + 1635761.

It is an arithmetic number, because the mean of its divisors is an integer number (3212639430).

Almost surely, 2132013132200 is an apocalyptic number.

132013132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013132200 is an abundant number, since it is smaller than the sum of its proper divisors (330606945720).

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

132013132200 is a wasteful number, since it uses less digits than its factorization.

132013132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188768 (or 3188756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132013132200 its reverse (2231310231), we get a palindrome (134244442431).

The spelling of 132013132200 in words is "one hundred thirty-two billion, thirteen million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 828 900 920 1035 1150 1380 1656 1725 1800 2070 2300 2760 3450 4140 4600 5175 6900 8280 10350 13800 20700 41400 3188723 6377446 9566169 12754892 15943615 19132338 25509784 28698507 31887230 38264676 47830845 57397014 63774460 73340629 76529352 79718075 95661690 114794028 127548920 143492535 146681258 159436150 191323380 220021887 229588056 239154225 286985070 293362516 318872300 366703145 382646760 440043774 478308450 573970140 586725032 637744600 660065661 717462675 733406290 880087548 956616900 1100109435 1147940280 1320131322 1434925350 1466812580 1760175096 1833515725 1913233800 2200218870 2640262644 2869850700 2933625160 3300328305 3667031450 4400437740 5280525288 5500547175 5739701400 6600656610 7334062900 8800875480 11001094350 13201313220 14668125800 16501641525 22002188700 26402626440 33003283050 44004377400 66006566100 132013132200