Search a number
-
+
153420103122 = 2311131011770409
BaseRepresentation
bin1000111011100010001…
…1001111110111010010
3112200000002222202100120
42032320203033313102
510003201021244442
6154251421131110
714040615234246
oct2167043176722
9480002882316
10153420103122
115a079715260
12258980b9a96
131160ccc3610
1475d5ab2426
153ecdea84ec
hex23b88cfdd2

153420103122 has 64 divisors (see below), whose sum is σ = 364052949120. Its totient is φ = 42489792000.

The previous prime is 153420103121. The next prime is 153420103127. The reversal of 153420103122 is 221301024351.

It is a super-3 number, since 3×1534201031223 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 153420103092 and 153420103101.

It is not an unprimeable number, because it can be changed into a prime (153420103121) 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, 798547 + ... + 971862.

It is an arithmetic number, because the mean of its divisors is an integer number (5688327330).

Almost surely, 2153420103122 is an apocalyptic number.

153420103122 is an abundant number, since it is smaller than the sum of its proper divisors (210632845998).

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

153420103122 is a wasteful number, since it uses less digits than its factorization.

153420103122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770539.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 153420103122 its reverse (221301024351), we get a palindrome (374721127473).

The spelling of 153420103122 in words is "one hundred fifty-three billion, four hundred twenty million, one hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 286 303 429 606 858 1111 1313 2222 2626 3333 3939 6666 7878 14443 28886 43329 86658 1770409 3540818 5311227 10622454 19474499 23015317 38948998 46030634 58423497 69045951 116846994 138091902 178811309 253168487 357622618 506336974 536433927 759505461 1072867854 1519010922 1966924399 2324547017 3933848798 4649094034 5900773197 6973641051 11801546394 13947282102 25570017187 51140034374 76710051561 153420103122