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103120233312033 = 32723553331286149
BaseRepresentation
bin10111011100100110001100…
…111000000010111100100001
3111112010012100100202220011200
4113130212030320002330201
5102004010214211441113
61003152440423231413
730502122340530630
oct2734461470027441
9445105310686150
10103120233312033
112a948055402833
12b6954855a8569
1345702722abb62
141b67090025517
15bdc5d9703873
hex5dc98ce02f21

103120233312033 has 48 divisors (see below), whose sum is σ = 177634888953600. Its totient is φ = 56362791779712.

The previous prime is 103120233312029. The next prime is 103120233312133. The reversal of 103120233312033 is 330213332021301.

103120233312033 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 202 + 333 + 120 + 3 + 3 = 666.

It is not a de Polignac number, because 103120233312033 - 22 = 103120233312029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103120233311988 and 103120233312006.

It is not an unprimeable number, because it can be changed into a prime (103120233312133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79534443 + ... + 80820591.

It is an arithmetic number, because the mean of its divisors is an integer number (3700726853200).

Almost surely, 2103120233312033 is an apocalyptic number.

It is an amenable number.

103120233312033 is a deficient number, since it is larger than the sum of its proper divisors (74514655641567).

103120233312033 is a wasteful number, since it uses less digits than its factorization.

103120233312033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341518 (or 1341515 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103120233312033 its reverse (330213332021301), we get a palindrome (433333565333334).

The spelling of 103120233312033 in words is "one hundred three trillion, one hundred twenty billion, two hundred thirty-three million, three hundred twelve thousand, thirty-three".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 55333 165999 387331 497997 1161993 1272659 1286149 3485979 3817977 3858447 8908613 9003043 11453931 11575341 26725839 27009129 29581427 80177517 81027387 88744281 207069989 266232843 621209967 1863629901 71166482617 213499447851 498165378319 640498343553 1494496134957 1636829100191 4483488404871 4910487300573 11457803701337 14731461901719 34373411104011 103120233312033