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100023023212 = 22724161204047
BaseRepresentation
bin101110100100111010…
…1100011011001101100
3100120011202222001011021
41131021311203121230
53114321343220322
6113541104303524
710140443445400
oct1351165433154
9316152861137
10100023023212
1139468430852
1217475611ba4
139580510c48
144bac135100
1529062864c7
hex1749d6366c

100023023212 has 72 divisors (see below), whose sum is σ = 212005055808. Its totient is φ = 41135673600.

The previous prime is 100023023197. The next prime is 100023023213. The reversal of 100023023212 is 212320320001.

It is not an unprimeable number, because it can be changed into a prime (100023023213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388173 + ... + 592219.

It is an arithmetic number, because the mean of its divisors is an integer number (2944514664).

Almost surely, 2100023023212 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 100023023212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106002527904).

100023023212 is an abundant number, since it is smaller than the sum of its proper divisors (111982032596).

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

100023023212 is a wasteful number, since it uses less digits than its factorization.

100023023212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204167 (or 204158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100023023212 its reverse (212320320001), we get a palindrome (312343343213).

The spelling of 100023023212 in words is "one hundred billion, twenty-three million, twenty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 41 49 61 82 98 122 164 196 244 287 427 574 854 1148 1708 2009 2501 2989 4018 5002 5978 8036 10004 11956 17507 35014 70028 122549 204047 245098 408094 490196 816188 1428329 2856658 5713316 8365927 9998303 12446867 16731854 19996606 24893734 33463708 39993212 49787468 58561489 87128069 117122978 174256138 234245956 348512276 409930423 510321547 609896483 819860846 1020643094 1219792966 1639721692 2041286188 2439585932 3572250829 7144501658 14289003316 25005755803 50011511606 100023023212