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100163342004 = 223112333319839
BaseRepresentation
bin101110101001000110…
…0110100111010110100
3100120112112222222100120
41131102030310322310
53120113303421004
6114003040011540
710144066234155
oct1352214647264
9316475888316
10100163342004
113952a6603a0
12174b4600bb0
1395a360040b
144bc2a1d92c
1529137523d9
hex1752334eb4

100163342004 has 96 divisors (see below), whose sum is σ = 256855173120. Its totient is φ = 30127891200.

The previous prime is 100163342003. The next prime is 100163342047. The reversal of 100163342004 is 400243361001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100163342003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10175317 + ... + 10185155.

It is an arithmetic number, because the mean of its divisors is an integer number (2675574720).

Almost surely, 2100163342004 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 100163342004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128427586560).

100163342004 is an abundant number, since it is smaller than the sum of its proper divisors (156691831116).

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

100163342004 is a wasteful number, since it uses less digits than its factorization.

100163342004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10421 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 100163342004 in words is "one hundred billion, one hundred sixty-three million, three hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 233 331 466 662 699 932 993 1324 1398 1986 2563 2796 3641 3972 5126 7282 7689 9839 10252 10923 14564 15378 19678 21846 29517 30756 39356 43692 59034 77123 108229 118068 154246 216458 231369 308492 324687 432916 462738 649374 848353 925476 1298748 1696706 2292487 2545059 3256709 3393412 4584974 5090118 6513418 6877461 9169948 9770127 10180236 13026836 13754922 19540254 25217357 27509844 35823799 39080508 50434714 71647598 75652071 100869428 107471397 143295196 151304142 214942794 302608284 429885588 758813197 1517626394 2276439591 3035252788 4552879182 8346945167 9105758364 16693890334 25040835501 33387780668 50081671002 100163342004