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153152441212113 = 32722331487074961
BaseRepresentation
bin100010110100101010010100…
…110110101101110011010001
3202002021020012221210000012200
4202310222110312231303101
5130033222144422241423
61301421132111513413
744154620160012300
oct4264522466556321
9662236187700180
10153152441212113
114488764942a962
1215215b76828869
13675c2a0633375
1429b6890db0437
1512a8ca6c19d43
hex8b4a94dadcd1

153152441212113 has 72 divisors (see below), whose sum is σ = 277188515974656. Its totient is φ = 81010307347200.

The previous prime is 153152441212087. The next prime is 153152441212117. The reversal of 153152441212113 is 311212144251351.

153152441212113 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 5 + 24 + 412 + 1 + 211 + 3 = 666.

153152441212113 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 153152441212113 - 230 = 153151367470289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153152441212117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243223048 + ... + 243851913.

It is an arithmetic number, because the mean of its divisors is an integer number (3849840499648).

Almost surely, 2153152441212113 is an apocalyptic number.

It is an amenable number.

153152441212113 is a deficient number, since it is larger than the sum of its proper divisors (124036074762543).

153152441212113 is a wasteful number, since it uses less digits than its factorization.

153152441212113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487075035 (or 487075025 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 153152441212113 its reverse (311212144251351), we get a palindrome (464364585463464).

The spelling of 153152441212113 in words is "one hundred fifty-three trillion, one hundred fifty-two billion, four hundred forty-one million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 23 31 49 63 69 93 147 161 207 217 279 441 483 651 713 1127 1449 1519 1953 2139 3381 4557 4991 6417 10143 13671 14973 34937 44919 104811 314433 487074961 1461224883 3409524727 4383674649 10228574181 11202724103 15099323791 23866673089 30685722543 33608172309 45297971373 71600019267 78419068721 100824516927 105695266537 135893914119 214800057801 235257206163 317085799611 347284447193 548933481047 705771618489 739866865759 951257398833 1041853341579 1646800443141 2219600597277 2430991130351 3125560024737 4940401329423 6658801791831 7292973391053 17016937912457 21878920173159 51050813737371 153152441212113