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132223343133140 = 225715674691128483
BaseRepresentation
bin11110000100000110100101…
…011001100000000111010100
3122100011102120010100211222222
4132010012211121200013110
5114312321401320230030
61145114322033241512
736564551463420350
oct3604064531400724
9570142503324888
10132223343133140
1139148672163686
12129b592a103298
1358a17b931832c
14249190301c460
151044674ed93e5
hex7841a56601d4

132223343133140 has 96 divisors (see below), whose sum is σ = 317608698322944. Its totient is φ = 45294777037440.

The previous prime is 132223343133083. The next prime is 132223343133173. The reversal of 132223343133140 is 41331343322231.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 132223343133140.

It is a congruent number.

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, 1029047339 + ... + 1029175821.

It is an arithmetic number, because the mean of its divisors is an integer number (3308423940864).

Almost surely, 2132223343133140 is an apocalyptic number.

132223343133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132223343133140 is an abundant number, since it is smaller than the sum of its proper divisors (185385355189804).

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

132223343133140 is a wasteful number, since it uses less digits than its factorization.

132223343133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134757 (or 134755 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 132223343133140 its reverse (41331343322231), we get a palindrome (173554686455371).

The spelling of 132223343133140 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, three hundred forty-three million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1567 3134 4691 6268 7835 9382 10969 15670 18764 21938 23455 31340 32837 43876 46910 54845 65674 93820 109690 128483 131348 164185 219380 256966 328370 513932 642415 656740 899381 1284830 1798762 2569660 3597524 4496905 7350797 8993810 14701594 17987620 29403188 36753985 51455579 73507970 102911158 147015940 201332861 205822316 257277895 402665722 514555790 602713753 805331444 1006664305 1029111580 1205427506 1409330027 2013328610 2410855012 2818660054 3013568765 4026657220 4218996271 5637320108 6027137530 7046650135 8437992542 12054275060 14093300270 16875985084 21094981355 28186600540 42189962710 84379925420 944452450951 1888904901902 3777809803804 4722262254755 6611167156657 9444524509510 13222334313314 18889049019020 26444668626628 33055835783285 66111671566570 132223343133140