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10023133220212 = 2272173801136899
BaseRepresentation
bin1001000111011011000101…
…0010111000110101110100
31022111012110101110121012011
42101312301102320311310
52303204334101021322
633152321442134004
72053101404436100
oct221666122706564
938435411417164
1010023133220212
113214872444832
12115a673051304
1357923c9bcac8
1426919d5b8900
15125ad0cba677
hex91db14b8d74

10023133220212 has 72 divisors (see below), whose sum is σ = 20525297032800. Its totient is φ = 4270149455040.

The previous prime is 10023133220161. The next prime is 10023133220231. The reversal of 10023133220212 is 21202233132001.

10023133220212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271618539 + ... + 271655437.

It is an arithmetic number, because the mean of its divisors is an integer number (285073569900).

Almost surely, 210023133220212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023133220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262648516400).

10023133220212 is an abundant number, since it is smaller than the sum of its proper divisors (10502163812588).

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

10023133220212 is a wasteful number, since it uses less digits than its factorization.

10023133220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45101 (or 45092 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10023133220212 its reverse (21202233132001), we get a palindrome (31225366352213).

The spelling of 10023133220212 in words is "ten trillion, twenty-three billion, one hundred thirty-three million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 173 196 346 692 1211 2422 4844 8011 8477 16022 16954 32044 33908 36899 56077 73798 112154 147596 224308 258293 392539 516586 785078 1033172 1385903 1570156 1808051 2771806 3616102 5543612 6383527 7232204 9701321 12767054 19402642 25534108 38805284 44684689 67909247 89369378 135818494 178738756 271636988 295597889 312792823 591195778 625585646 1182391556 1251171292 2069185223 4138370446 8276740892 14484296561 28968593122 51138434797 57937186244 102276869594 204553739188 357969043579 715938087158 1431876174316 2505783305053 5011566610106 10023133220212