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100664036022 = 231121397011423
BaseRepresentation
bin101110111000000001…
…0110100101010110110
3100121211110010212102110
41131300002310222312
53122124443123042
6114124443351450
710162356121404
oct1356002645266
9317743125373
10100664036022
1139767251200
1217614222586
139653269374
144c2d316474
1529426a609c
hex17700b4ab6

100664036022 has 96 divisors (see below), whose sum is σ = 223361349120. Its totient is φ = 30220344000.

The previous prime is 100664036009. The next prime is 100664036069. The reversal of 100664036022 is 220630466001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70740003 + ... + 70741425.

It is an arithmetic number, because the mean of its divisors is an integer number (2326680720).

Almost surely, 2100664036022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100664036022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111680674560).

100664036022 is an abundant number, since it is smaller than the sum of its proper divisors (122697313098).

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

100664036022 is a wasteful number, since it uses less digits than its factorization.

100664036022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 100664036022 in words is "one hundred billion, six hundred sixty-four million, thirty-six thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 139 242 278 363 417 701 726 834 1402 1423 1529 2103 2846 3058 4206 4269 4587 7711 8538 9174 15422 15653 16819 23133 31306 33638 46266 46959 50457 84821 93918 97439 100914 169642 172183 194878 197797 254463 292317 344366 395594 508926 516549 584634 593391 997523 1033098 1071829 1186782 1995046 2143658 2175767 2992569 3215487 4351534 5985138 6430974 6527301 10972753 11790119 13054602 21945506 23580238 23933437 32918259 35370357 47866874 65836518 70740714 71800311 120700283 138655697 143600622 241400566 277311394 362100849 415967091 724201698 831934182 1525212667 3050425334 4575638001 9151276002 16777339337 33554678674 50332018011 100664036022