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101131023213030 = 23513724606088373
BaseRepresentation
bin10110111111101001100110…
…101101101110000111100110
3111021002000211220000210210110
4112333221212231232013212
5101223412313420304110
6555030541203233450
730205322013630066
oct2677514655560746
9437060756023713
10101131023213030
112a25047613a2a8
12b413a53078886
1344577cb2901b5
141ad8aa65953a6
15ba59b3b13a20
hex5bfa66b6e1e6

101131023213030 has 32 divisors (see below), whose sum is σ = 244486094084064. Its totient is φ = 26771424148736.

The previous prime is 101131023212963. The next prime is 101131023213053. The reversal of 101131023213030 is 30312320131101.

It is a happy number.

It is a super-2 number, since 2×1011310232130302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101131023212988 and 101131023213006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12303040077 + ... + 12303048296.

It is an arithmetic number, because the mean of its divisors is an integer number (7640190440127).

Almost surely, 2101131023213030 is an apocalyptic number.

101131023213030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101131023213030 is an abundant number, since it is smaller than the sum of its proper divisors (143355070871034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101131023213030 is a wasteful number, since it uses less digits than its factorization.

101131023213030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24606088520.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101131023213030 its reverse (30312320131101), we get a palindrome (131443343344131).

The spelling of 101131023213030 in words is "one hundred one trillion, one hundred thirty-one billion, twenty-three million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 137 274 411 685 822 1370 2055 4110 24606088373 49212176746 73818265119 123030441865 147636530238 246060883730 369091325595 738182651190 3371034107101 6742068214202 10113102321303 16855170535505 20226204642606 33710341071010 50565511606515 101131023213030