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10421442324120 = 23351951398911159
BaseRepresentation
bin1001011110100110111001…
…0111100010011010011000
31100220021120020022112210210
42113221232113202122120
52331221103213332440
634055313340411120
72123632025112642
oct227515627423230
940807506275723
1010421442324120
113358788561943
1212038b3b46aa0
135a7978c1b5c9
14280586d85892
1513114400ca80
hex97a6e5e2698

10421442324120 has 128 divisors (see below), whose sum is σ = 31290997248000. Its totient is φ = 2776681689600.

The previous prime is 10421442324119. The next prime is 10421442324121. The reversal of 10421442324120 is 2142324412401.

It is an interprime number because it is at equal distance from previous prime (10421442324119) and next prime (10421442324121).

It is a super-2 number, since 2×104214423241202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421442324121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933899101 + ... + 933910259.

It is an arithmetic number, because the mean of its divisors is an integer number (244460916000).

Almost surely, 210421442324120 is an apocalyptic number.

10421442324120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10421442324120 is an abundant number, since it is smaller than the sum of its proper divisors (20869554923880).

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

10421442324120 is a wasteful number, since it uses less digits than its factorization.

10421442324120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17113 (or 17109 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10421442324120 its reverse (2142324412401), we get a palindrome (12563766736521).

The spelling of 10421442324120 in words is "ten trillion, four hundred twenty-one billion, four hundred forty-two million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1951 3902 3989 5853 7804 7978 9755 11159 11706 11967 15608 15956 19510 19945 22318 23412 23934 29265 31912 33477 39020 39890 44636 46824 47868 55795 58530 59835 66954 78040 79780 89272 95736 111590 117060 119670 133908 159560 167385 223180 234120 239340 267816 334770 446360 478680 669540 1339080 7782539 15565078 21771209 23347617 31130156 38912695 43542418 44513251 46695234 62260312 65313627 77825390 87084836 89026502 93390468 108856045 116738085 130627254 133539753 155650780 174169672 178053004 186780936 217712090 222566255 233476170 261254508 267079506 311301560 326568135 356106008 435424180 445132510 466952340 522509016 534159012 653136270 667698765 870848360 890265020 933904680 1068318024 1306272540 1335397530 1780530040 2612545080 2670795060 5341590120 86845352701 173690705402 260536058103 347381410804 434226763505 521072116206 694762821608 868453527010 1042144232412 1302680290515 1736907054020 2084288464824 2605360581030 3473814108040 5210721162060 10421442324120