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133342140220 = 2251911316319051
BaseRepresentation
bin111110000101111001…
…1111001011100111100
3110202011211202120002221
41330023303321130330
54141041041441340
6141131224455124
712430225330252
oct1741363713474
9422154676087
10133342140220
1151606186593
1221a1401a4a4
13c76041c8b3
14664d2d45d2
15370648c44a
hex1f0bcf973c

133342140220 has 96 divisors (see below), whose sum is σ = 299204801280. Its totient is φ = 49772620800.

The previous prime is 133342140131. The next prime is 133342140229. The reversal of 133342140220 is 22041243331.

It is a super-3 number, since 3×1333421402203 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133342140229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6989695 + ... + 7008745.

It is an arithmetic number, because the mean of its divisors is an integer number (3116716680).

Almost surely, 2133342140220 is an apocalyptic number.

133342140220 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 133342140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149602400640).

133342140220 is an abundant number, since it is smaller than the sum of its proper divisors (165862661060).

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

133342140220 is a wasteful number, since it uses less digits than its factorization.

133342140220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19355 (or 19353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 133342140220 its reverse (22041243331), we get a palindrome (155383383551).

The spelling of 133342140220 in words is "one hundred thirty-three billion, three hundred forty-two million, one hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 163 190 226 326 380 452 565 652 815 1130 1630 2147 2260 3097 3260 4294 6194 8588 10735 12388 15485 18419 19051 21470 30970 36838 38102 42940 61940 73676 76204 92095 95255 184190 190510 349961 361969 368380 381020 699922 723938 1399844 1447876 1749805 1809845 2152763 3105313 3499610 3619690 4305526 6210626 6999220 7239380 8611052 10763815 12421252 15526565 21527630 31053130 40902497 43055260 59000947 62106260 81804994 118001894 163609988 204512485 236003788 295004735 350900369 409024970 590009470 701800738 818049940 1180018940 1403601476 1754501845 3509003690 6667107011 7018007380 13334214022 26668428044 33335535055 66671070110 133342140220