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133022430552 = 233111750958231
BaseRepresentation
bin111101111100011000…
…0010011010101011000
3110201100120011121220010
41323320300103111120
54134412220234202
6141035404201520
712416264001144
oct1737060232530
9421316147803
10133022430552
115146176aa20
1221944b392a0
13c70c11088b
14661ca70224
1536d838876c
hex1ef8c13558

133022430552 has 128 divisors (see below), whose sum is σ = 384890227200. Its totient is φ = 37863475200.

The previous prime is 133022430521. The next prime is 133022430587. The reversal of 133022430552 is 255034220331.

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, 2255277 + ... + 2313507.

It is an arithmetic number, because the mean of its divisors is an integer number (3006954900).

Almost surely, 2133022430552 is an apocalyptic number.

133022430552 is a gapful number since it is divisible by the number (12) 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 133022430552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192445113600).

133022430552 is an abundant number, since it is smaller than the sum of its proper divisors (251867796648).

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

133022430552 is a wasteful number, since it uses less digits than its factorization.

133022430552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58777 (or 58773 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 133022430552 its reverse (255034220331), we get a palindrome (388056650883).

The spelling of 133022430552 in words is "one hundred thirty-three billion, twenty-two million, four hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 509 561 748 1018 1122 1496 1527 2036 2244 3054 4072 4488 5599 6108 8653 11198 12216 16797 17306 22396 25959 33594 34612 44792 51918 58231 67188 69224 95183 103836 116462 134376 174693 190366 207672 232924 285549 349386 380732 465848 571098 640541 698772 761464 989927 1142196 1281082 1397544 1921623 1979854 2284392 2562164 2969781 3843246 3959708 5124328 5939562 7686492 7919416 10889197 11879124 15372984 21778394 23758248 29639579 32667591 43556788 59279158 65335182 87113576 88918737 118558316 130670364 177837474 237116632 261340728 326035369 355674948 503872843 652070738 711349896 978106107 1007745686 1304141476 1511618529 1956212214 2015491372 2608282952 3023237058 3912424428 4030982744 5542601273 6046474116 7824848856 11085202546 12092948232 16627803819 22170405092 33255607638 44340810184 66511215276 133022430552