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2201132332112 = 247236115192767
BaseRepresentation
bin100000000001111101101…
…101011111010001010000
321210102111200210222002212
4200001331231133101100
5242030404334111422
64403104120531252
7315012053055620
oct40017555372120
97712450728085
102201132332112
117795498aa94a
122b6716920b28
1312c74834483c
147876d0c8880
153c3caa729e2
hex2007db5f450

2201132332112 has 160 divisors (see below), whose sum is σ = 5203510001664. Its totient is φ = 881648064000.

The previous prime is 2201132332099. The next prime is 2201132332141. The reversal of 2201132332112 is 2112332311022.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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, 23681153 + ... + 23773919.

Almost surely, 22201132332112 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 2201132332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601755000832).

2201132332112 is an abundant number, since it is smaller than the sum of its proper divisors (3002377669552).

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

2201132332112 is a wasteful number, since it uses less digits than its factorization.

2201132332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93017 (or 93011 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2201132332112 its reverse (2112332311022), we get a palindrome (4313464643134).

The spelling of 2201132332112 in words is "two trillion, two hundred one billion, one hundred thirty-two million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 61 92 112 122 151 161 184 244 302 322 368 427 488 604 644 854 976 1057 1208 1288 1403 1708 2114 2416 2576 2806 3416 3473 4228 5612 6832 6946 8456 9211 9821 11224 13892 16912 18422 19642 22448 24311 27784 36844 39284 48622 55568 64477 73688 78568 92767 97244 128954 147376 157136 185534 194488 211853 257908 371068 388976 423706 515816 649369 742136 847412 1031632 1298738 1482971 1484272 1694824 2133641 2597476 2965942 3389648 4267282 5194952 5658787 5931884 8534564 10389904 11317574 11863768 14007817 14935487 17069128 22635148 23727536 28015634 29870974 34138256 39611509 45270296 56031268 59741948 79223018 90540592 98054719 112062536 119483896 130152101 158446036 196109438 224125072 238967792 260304202 316892072 322179791 392218876 520608404 633784144 644359582 784437752 854476837 911064707 1041216808 1288719164 1568875504 1708953674 1822129414 2082433616 2255258537 2577438328 3417907348 3644258828 4510517074 5154876656 5981337859 6835814696 7288517656 9021034148 11962675718 13671629392 14577035312 18042068296 19652967251 23925351436 36084136592 39305934502 47850702872 78611869004 95701405744 137570770757 157223738008 275141541514 314447476016 550283083028 1100566166056 2201132332112