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100241221332434 = 272133071388318461
BaseRepresentation
bin10110110010101100111010…
…011000111010110111010010
3111010220222010001210212102012
4112302230322120322313102
5101114323010130114214
6553110103101022522
730054121624504100
oct2662547230726722
9433828101725365
10100241221332434
1129a38077182566
12b2ab506254a42
1343c192556a890
141aa79b5784c70
15b8c786a7c03e
hex5b2b3a63add2

100241221332434 has 96 divisors (see below), whose sum is σ = 189002789591616. Its totient is φ = 39521707505280.

The previous prime is 100241221332407. The next prime is 100241221332463. The reversal of 100241221332434 is 434233122142001.

It is a happy number.

100241221332434 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100241221332434.

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, 5429881964 + ... + 5429900424.

It is an arithmetic number, because the mean of its divisors is an integer number (1968779058246).

Almost surely, 2100241221332434 is an apocalyptic number.

100241221332434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100241221332434 is a deficient number, since it is larger than the sum of its proper divisors (88761568259182).

100241221332434 is a wasteful number, since it uses less digits than its factorization.

100241221332434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32680 (or 32673 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 100241221332434 its reverse (434233122142001), we get a palindrome (534474343474435).

The spelling of 100241221332434 in words is "one hundred trillion, two hundred forty-one billion, two hundred twenty-one million, three hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 7 13 14 26 49 91 98 182 307 614 637 1274 2149 3991 4298 7982 13883 15043 18461 27766 27937 30086 36922 55874 97181 129227 180479 194362 195559 239993 258454 360958 391118 479986 680267 904589 1263353 1360534 1679951 1809178 2526706 3359902 4262081 5667527 8524162 8843471 11335054 11759657 17686942 23519314 29834567 39672689 55407053 59669134 73677851 79345378 110814106 147355702 208841969 256294063 277708823 387849371 417683938 512588126 515744957 555417646 775698742 1031489914 1794058441 2714945597 3331822819 3588116882 3610214699 5429891194 6663645638 7220429398 12558409087 23322759733 25116818174 46645519466 78682277341 157364554682 163259318131 326518636262 550775941387 1022869605433 1101551882774 2045739210866 3855431589709 7160087238031 7710863179418 14320174476062 50120610666217 100241221332434