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241001100102 = 2374373471303
BaseRepresentation
bin1110000001110011001…
…0001111001101000110
3212001001210002101011110
43200130302033031012
512422032240200402
6302414145545450
723261142360000
oct3403462171506
9761053071143
10241001100102
11932319245a4
123a85a945286
1319959905559
14b943605370
156407ca856c
hex381cc8f346

241001100102 has 160 divisors (see below), whose sum is σ = 579608554752. Its totient is φ = 66752102592.

The previous prime is 241001100089. The next prime is 241001100161. The reversal of 241001100102 is 201001100142.

It is a happy number.

It is a super-3 number, since 3×2410011001023 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 184957983 + ... + 184959285.

Almost surely, 2241001100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241001100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289804277376).

241001100102 is an abundant number, since it is smaller than the sum of its proper divisors (338607454650).

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

241001100102 is a wasteful number, since it uses less digits than its factorization.

241001100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 241001100102 its reverse (201001100142), we get a palindrome (442002200244).

The spelling of 241001100102 in words is "two hundred forty-one billion, one million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 343 347 518 686 694 777 1029 1041 1303 1554 1813 2058 2082 2401 2429 2606 3626 3909 4802 4858 5439 7203 7287 7818 9121 10878 12691 12839 14406 14574 17003 18242 25382 25678 27363 34006 38073 38517 48211 51009 54726 63847 76146 77034 88837 89873 96422 102018 119021 127694 144633 177674 179746 191541 238042 266511 269619 289266 337477 357063 383082 446929 452141 533022 539238 629111 674954 714126 833147 893858 904282 1012431 1258222 1340787 1356423 1666294 1887333 2024862 2362339 2499441 2681574 2712846 3128503 3164987 3774666 4403777 4724678 4998882 6257006 6329974 7087017 8807554 9385509 9494961 13211331 14174034 16536373 16729217 18771018 18989922 22154909 26422662 30826439 33072746 33458434 44309818 49609119 50187651 61652878 66464727 92479317 99218238 100375302 115754611 117104519 132929454 155084363 184958634 231509222 234209038 310168726 347263833 351313557 465253089 694527666 702627114 819731633 930506178 1085590541 1639463266 2171181082 2459194899 3256771623 4918389798 5738121431 6513543246 11476242862 17214364293 34428728586 40166850017 80333700034 120500550051 241001100102