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241023120103032 = 233175632971353173
BaseRepresentation
bin110110110011010110010001…
…011101001101011001111000
31011121101120210122112102100020
4312303112101131031121320
5223042410322221244112
62212340254240210440
7101524226413640511
oct6663262135153170
91147346718472306
10241023120103032
116a885370924983
1223047a8b309a20
13a4644c8a430c7
14437381cd79a08
151cce87015848c
hexdb359174d678

241023120103032 has 128 divisors (see below), whose sum is σ = 639352530927360. Its totient is φ = 75455169546240.

The previous prime is 241023120103001. The next prime is 241023120103057. The reversal of 241023120103032 is 230301021320142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 241023120102993 and 241023120103011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682273998 + ... + 682627170.

It is an arithmetic number, because the mean of its divisors is an integer number (4994941647870).

Almost surely, 2241023120103032 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 241023120103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319676265463680).

241023120103032 is an abundant number, since it is smaller than the sum of its proper divisors (398329410824328).

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

241023120103032 is a wasteful number, since it uses less digits than its factorization.

241023120103032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356733 (or 356729 counting only the distinct ones).

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

Adding to 241023120103032 its reverse (230301021320142), we get a palindrome (471324141423174).

The spelling of 241023120103032 in words is "two hundred forty-one trillion, twenty-three billion, one hundred twenty million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 563 1126 1689 2252 2971 3378 4504 5942 6756 8913 9571 11884 13512 17826 19142 23768 28713 35652 38284 50507 57426 71304 76568 101014 114852 151521 202028 229704 303042 353173 404056 606084 706346 1059519 1212168 1412692 1672673 2119038 2825384 3345346 4238076 5018019 6003941 6690692 8476152 10036038 12007882 13381384 18011823 20072076 24015764 28435441 36023646 40144152 48031528 56870882 72047292 85306323 113741764 144094584 170612646 198836399 227483528 341225292 397672798 596509197 682450584 795345596 1049276983 1193018394 1590691192 2098553966 2386036788 3147830949 3380218783 4197107932 4772073576 6295661898 6760437566 8394215864 10140656349 12591323796 13520875132 17837708711 20281312698 25182647592 27041750264 35675417422 40562625396 53513126133 71350834844 81125250792 107026252266 142701669688 214052504532 428105009064 590742941429 1181485882858 1772228824287 2362971765716 3544457648574 4725943531432 7088915297148 10042630004293 14177830594296 20085260008586 30127890012879 40170520017172 60255780025758 80341040034344 120511560051516 241023120103032