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153013401054041 = 11232299532771281
BaseRepresentation
bin100010110010101000110101…
…011010100110101101011001
3202001202221100000012011001112
4202302220311122212231121
5130023432421132212131
61301233215214430105
744141565502120043
oct4262506532465531
9661687300164045
10153013401054041
1144833689931210
12151b3032502335
13674c14288aa98
1429adc61038a93
1512a536a3e602b
hex8b2a356a6b59

153013401054041 has 32 divisors (see below), whose sum is σ = 175125512574720. Its totient is φ = 132335049369600.

The previous prime is 153013401054037. The next prime is 153013401054043. The reversal of 153013401054041 is 140450104310351.

153013401054041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153013401054041 - 22 = 153013401054037 is a prime.

It is a super-4 number, since 4×1530134010540414 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153013401053989 and 153013401054007.

It is not an unprimeable number, because it can be changed into a prime (153013401054043) 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, 53828321 + ... + 56599601.

It is an arithmetic number, because the mean of its divisors is an integer number (5472672267960).

Almost surely, 2153013401054041 is an apocalyptic number.

153013401054041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

153013401054041 is a deficient number, since it is larger than the sum of its proper divisors (22112111520679).

153013401054041 is a wasteful number, since it uses less digits than its factorization.

153013401054041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772497.

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 153013401054041 its reverse (140450104310351), we get a palindrome (293463505364392).

The spelling of 153013401054041 in words is "one hundred fifty-three trillion, thirteen billion, four hundred one million, fifty-four thousand, forty-one".

Divisors: 1 11 23 229 253 953 2519 5267 10483 21919 57937 218237 241109 2400607 2771281 5019451 30484091 55213961 63739463 634623349 701134093 2641030793 6980856839 14596337027 29051338723 60743708239 160559707297 604796051597 668180790629 6652756567567 13910309186731 153013401054041