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10234210211442 = 23371071216120807
BaseRepresentation
bin1001010011101101011001…
…1101101101011001110010
31100020101021201001202001000
42110323112131231121302
52320134130303231232
633433310430422430
72104253161321140
oct224732635553162
940211251052030
1010234210211442
11329633894a438
121193560361a16
1359310ab82359
142754a488c590
1512b33693b27c
hex94ed676d672

10234210211442 has 128 divisors (see below), whose sum is σ = 26237975777280. Its totient is φ = 2896354990080.

The previous prime is 10234210211437. The next prime is 10234210211453. The reversal of 10234210211442 is 24411201243201.

10234210211442 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 2 + 1 + 0 + 211 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491853403 + ... + 491874209.

It is an arithmetic number, because the mean of its divisors is an integer number (204984185760).

Almost surely, 210234210211442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234210211442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13118987888640).

10234210211442 is an abundant number, since it is smaller than the sum of its proper divisors (16003765565838).

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

10234210211442 is a wasteful number, since it uses less digits than its factorization.

10234210211442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33093 (or 33087 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10234210211442 its reverse (24411201243201), we get a palindrome (34645411454643).

The spelling of 10234210211442 in words is "ten trillion, two hundred thirty-four billion, two hundred ten million, two hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 107 126 189 214 321 378 642 749 963 1498 1926 2247 2889 4494 5778 6741 12161 13482 20223 20807 24322 36483 40446 41614 62421 72966 85127 109449 124842 145649 170254 187263 218898 255381 291298 328347 374526 436947 510762 561789 656694 766143 873894 1123578 1301227 1310841 1532286 2226349 2298429 2602454 2621682 3903681 3932523 4452698 4596858 6679047 7807362 7865046 9108589 11711043 13358094 15584443 18217178 20037141 23422086 27325767 31168886 35133129 40074282 46753329 54651534 60111423 70266258 81977301 93506658 120222846 140259987 163954602 245931903 253033927 280519974 420779961 491863806 506067854 759101781 841559922 1518203562 1771237489 2277305343 3542474978 4554610686 5313712467 6831916029 10627424934 13663832058 15941137401 27074630189 31882274802 47823412203 54149260378 81223890567 95646824406 162447781134 189522411323 243671671701 379044822646 487343343402 568567233969 731015015103 1137134467938 1462030030206 1705701701907 3411403403814 5117105105721 10234210211442