Search a number
-
+
133303220322132 = 22373750957841697
BaseRepresentation
bin11110010011110100010011…
…000110000011111101010100
3122110222122220121210220110010
4132103310103012003331110
5114433014443400302012
61151302353133200220
740035561032161410
oct3623642306037524
9573878817726403
10133303220322132
113952463a733953
1212b4b082930070
13594c594149433
1424cbca5b91d40
1510627c9060c3c
hex793d13183f54

133303220322132 has 96 divisors (see below), whose sum is σ = 365090291774208. Its totient is φ = 37056494628864.

The previous prime is 133303220322131. The next prime is 133303220322263. The reversal of 133303220322132 is 231223022303331.

It is a self number, because there is not a number n which added to its sum of digits gives 133303220322132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303220322131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157953508 + ... + 158795204.

It is an arithmetic number, because the mean of its divisors is an integer number (3803023872648).

Almost surely, 2133303220322132 is an apocalyptic number.

133303220322132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133303220322132 is an abundant number, since it is smaller than the sum of its proper divisors (231787071452076).

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

133303220322132 is a wasteful number, since it uses less digits than its factorization.

133303220322132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892705 (or 892703 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 133303220322132 its reverse (231223022303331), we get a palindrome (364526242625463).

The spelling of 133303220322132 in words is "one hundred thirty-three trillion, three hundred three billion, two hundred twenty million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 50957 101914 152871 203828 305742 356699 611484 713398 841697 1070097 1426796 1683394 1885409 2140194 2525091 3366788 3770818 4280388 5050182 5656227 5891879 7541636 10100364 11312454 11783758 13197863 17675637 22624908 23567516 26395726 31142789 35351274 39593589 52791452 62285578 70702548 79187178 93428367 124571156 158374356 186856734 217999523 373713468 435999046 653998569 871998092 1307997138 2615994276 42890354029 85780708058 128671062087 171561416116 257342124174 300232478203 514684248348 600464956406 900697434609 1200929912812 1586943099073 1801394869218 3173886198146 3602789738436 4760829297219 6347772396292 9521658594438 11108601693511 19043317188876 22217203387022 33325805080533 44434406774044 66651610161066 133303220322132