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10430145146124 = 2232111710315042119
BaseRepresentation
bin1001011111000111010100…
…0110001010110100001100
31100221010000202012201020200
42113301311012022310030
52331341414124133444
634103313104213500
72124360501636564
oct227616506126414
940833022181220
1010430145146124
113361444026920
12120552260a290
135a8734c4b422
14280b70b1dda4
151314a3086969
hex97c7518ad0c

10430145146124 has 144 divisors (see below), whose sum is σ = 30749462714880. Its totient is φ = 2945848389120.

The previous prime is 10430145146111. The next prime is 10430145146203. The reversal of 10430145146124 is 42164154103401.

10430145146124 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 0 + 14 + 514 + 6 + 124 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6827664 + ... + 8214455.

It is an arithmetic number, because the mean of its divisors is an integer number (213537935520).

Almost surely, 210430145146124 is an apocalyptic number.

It is an amenable number.

10430145146124 is an abundant number, since it is smaller than the sum of its proper divisors (20319317568756).

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

10430145146124 is a wasteful number, since it uses less digits than its factorization.

10430145146124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042260 (or 15042255 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 10430145146124 its reverse (42164154103401), we get a palindrome (52594299249525).

The spelling of 10430145146124 in words is "ten trillion, four hundred thirty billion, one hundred forty-five million, one hundred forty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 103 132 153 187 198 204 206 306 309 374 396 412 561 612 618 748 927 1122 1133 1236 1683 1751 1854 2244 2266 3366 3399 3502 3708 4532 5253 6732 6798 7004 10197 10506 13596 15759 19261 20394 21012 31518 38522 40788 57783 63036 77044 115566 173349 231132 346698 693396 15042119 30084238 45126357 60168476 90252714 135379071 165463309 180505428 255716023 270758142 330926618 496389927 511432046 541516284 661853236 767148069 992779854 1022864092 1489169781 1534296138 1549338257 1985559708 2301444207 2812876253 2978339562 3068592276 3098676514 4602888414 4648014771 5625752506 5956679124 6197353028 8438628759 9205776828 9296029542 11251505012 13944044313 16877257518 17042720827 18592059084 25315886277 26338750369 27888088626 33754515036 34085441654 50631772554 51128162481 52677500738 55776177252 68170883308 79016251107 101263545108 102256324962 105355001476 153384487443 158032502214 204512649924 237048753321 289726254059 306768974886 316065004428 474097506642 579452508118 613537949772 869178762177 948195013284 1158905016236 1738357524354 2607536286531 3476715048708 5215072573062 10430145146124