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83013812136141 = 31710118503870997
BaseRepresentation
bin10010111000000000101000…
…110010001010100011001101
3101212221001011022002111212220
4102320000220302022203031
541340044241401324031
6452320004022045553
723325356436443055
oct2270005062124315
9355831138074786
1083013812136141
11244a5a61870167
1293887718798b9
1337422270a5933
14166dc66020565
1598e5a6a52596
hex4b8028c8a8cd

83013812136141 has 32 divisors (see below), whose sum is σ = 118362858709248. Its totient is φ = 51568537574400.

The previous prime is 83013812136139. The next prime is 83013812136253. The reversal of 83013812136141 is 14163121831038.

It is not a de Polignac number, because 83013812136141 - 21 = 83013812136139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83013812136093 and 83013812136102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83013812136641) 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, 94873455 + ... + 95744451.

It is an arithmetic number, because the mean of its divisors is an integer number (3698839334664).

Almost surely, 283013812136141 is an apocalyptic number.

It is an amenable number.

83013812136141 is a deficient number, since it is larger than the sum of its proper divisors (35349046573107).

83013812136141 is a wasteful number, since it uses less digits than its factorization.

83013812136141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889621.

The product of its (nonzero) digits is 82944, while the sum is 42.

Adding to 83013812136141 its reverse (14163121831038), we get a palindrome (97176933967179).

The spelling of 83013812136141 in words is "eighty-three trillion, thirteen billion, eight hundred twelve million, one hundred thirty-six thousand, one hundred forty-one".

Divisors: 1 3 17 51 101 303 1717 5151 18503 55509 314551 870997 943653 1868803 2612991 5606409 14806949 31769651 44420847 87970697 95308953 263912091 1495501849 4486505547 16116057491 48348172473 273972977347 821918932041 1627721806591 4883165419773 27671270712047 83013812136141