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101110023230321 = 71731134992030411
BaseRepresentation
bin10110111111010110000011…
…000001001001001101110001
3111021000000122100212011011002
4112333112003001021031301
5101223041311421332241
6555013145312531345
730203646430003520
oct2677260301111561
9437000570764132
10101110023230321
112a24257a1a9496
12b40b972250b55
134455832683221
141ad7a735684b7
15ba51851bb89b
hex5bf583049371

101110023230321 has 32 divisors (see below), whose sum is σ = 126307869696000. Its totient is φ = 78930645638400.

The previous prime is 101110023230303. The next prime is 101110023230393. The reversal of 101110023230321 is 123032320011101.

It is a happy number.

It is not a de Polignac number, because 101110023230321 - 218 = 101110022968177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110023230293 and 101110023230302.

It is not an unprimeable number, because it can be changed into a prime (101110023230621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48782606 + ... + 50813016.

It is an arithmetic number, because the mean of its divisors is an integer number (3947120928000).

Almost surely, 2101110023230321 is an apocalyptic number.

It is an amenable number.

101110023230321 is a deficient number, since it is larger than the sum of its proper divisors (25197846465679).

101110023230321 is a wasteful number, since it uses less digits than its factorization.

101110023230321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043965.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101110023230321 its reverse (123032320011101), we get a palindrome (224142343241422).

The spelling of 101110023230321 in words is "one hundred one trillion, one hundred ten billion, twenty-three million, two hundred thirty thousand, three hundred twenty-one".

Divisors: 1 7 17 31 119 217 527 3689 13499 94493 229483 418469 1606381 2030411 2929283 7113973 14212877 34516987 49797811 62942741 241618909 440599187 1070026597 7490186179 27408518089 191859626623 465944807513 849664060759 3261613652591 5947648425313 14444289032903 101110023230321