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241322001102 = 232721337568831
BaseRepresentation
bin1110000010111111101…
…0011000001011001110
3212001220010220211120200
43200233322120023032
512423211413013402
6302510051554330
723302120110300
oct3405772301316
9761803824520
10241322001102
1193386a84236
123a92a2bb9a6
13199ab2408c0
14b974099970
15642604521c
hex382fe982ce

241322001102 has 144 divisors (see below), whose sum is σ = 672721201152. Its totient is φ = 61925109120.

The previous prime is 241322001097. The next prime is 241322001133. The reversal of 241322001102 is 201100223142.

It is a happy number.

241322001102 is a `hidden beast` number, since 241 + 322 + 0 + 0 + 1 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139827 + ... + 708657.

It is an arithmetic number, because the mean of its divisors is an integer number (4671675008).

Almost surely, 2241322001102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241322001102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336360600576).

241322001102 is an abundant number, since it is smaller than the sum of its proper divisors (431399200050).

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

241322001102 is a wasteful number, since it uses less digits than its factorization.

241322001102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568903 (or 568893 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 241322001102 its reverse (201100223142), we get a palindrome (442422224244).

The spelling of 241322001102 in words is "two hundred forty-one billion, three hundred twenty-two million, one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 49 63 74 78 91 98 111 117 126 147 182 222 234 259 273 294 333 441 481 518 546 637 666 777 819 882 962 1274 1443 1554 1638 1813 1911 2331 2886 3367 3626 3822 4329 4662 5439 5733 6734 8658 10101 10878 11466 16317 20202 23569 30303 32634 47138 60606 70707 141414 212121 424242 568831 1137662 1706493 3412986 3981817 5119479 7394803 7963634 10238958 11945451 14789606 21046747 22184409 23890902 27872719 35836353 42093494 44368818 51763621 55745438 63140241 66553227 71672706 83618157 103527242 126280482 133106454 147327229 155290863 167236314 189420723 250854471 273607711 294654458 310581726 362345347 378841446 441981687 465872589 501708942 547215422 724690694 820823133 883963374 931745178 1031290603 1087036041 1325945061 1641646266 1915253977 2062581206 2174072082 2462469399 2651890122 3093871809 3261108123 3830507954 4924938798 5745761931 6187743618 6522216246 9281615427 11491523862 13406777839 17237285793 18563230854 26813555678 34474571586 40220333517 80440667034 120661000551 241322001102