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10412021134032 = 2437532712157499
BaseRepresentation
bin1001011110000011110011…
…0100100011001011010000
31100212101020122200111121120
42113200330310203023100
52331042304402242112
634051114431522240
72123146406243310
oct227407464431320
940771218614546
1010412021134032
113354793542331
121201b04989380
135a6b0711aa0b
1427dd31a51440
15130c91d83e8c
hex9783cd232d0

10412021134032 has 160 divisors (see below), whose sum is σ = 31435845120000. Its totient is φ = 2907962104320.

The previous prime is 10412021133961. The next prime is 10412021134043. The reversal of 10412021134032 is 23043112021401.

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 = 10412021133993 and 10412021134011.

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, 3747219 + ... + 5904717.

It is an arithmetic number, because the mean of its divisors is an integer number (196474032000).

Almost surely, 210412021134032 is an apocalyptic number.

10412021134032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412021134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717922560000).

10412021134032 is an abundant number, since it is smaller than the sum of its proper divisors (21023823985968).

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

10412021134032 is a wasteful number, since it uses less digits than its factorization.

10412021134032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157841 (or 2157835 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10412021134032 its reverse (23043112021401), we get a palindrome (33455133155433).

The spelling of 10412021134032 in words is "ten trillion, four hundred twelve billion, twenty-one million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 271 318 336 371 424 542 636 742 813 848 1084 1113 1272 1484 1626 1897 2168 2226 2544 2968 3252 3794 4336 4452 5691 5936 6504 7588 8904 11382 13008 14363 15176 17808 22764 28726 30352 43089 45528 57452 86178 91056 100541 114904 172356 201082 229808 301623 344712 402164 603246 689424 804328 1206492 1608656 2157499 2412984 4314998 4825968 6472497 8629996 12944994 15102493 17259992 25889988 30204986 34519984 45307479 51779976 60409972 90614958 103559952 114347447 120819944 181229916 228694894 241639888 343042341 362459832 457389788 584682229 686084682 724919664 800432129 914779576 1169364458 1372169364 1600864258 1754046687 1829559152 2338728916 2401296387 2744338728 3201728516 3508093374 4092775603 4677457832 4802592774 5488677456 6403457032 7016186748 8185551206 9354915664 9605185548 12278326809 12806914064 14032373496 16371102412 19210371096 24556653618 28064746992 30988158137 32742204824 38420742192 49113307236 61976316274 65484409648 92964474411 98226614472 123952632548 185928948822 196453228944 216917106959 247905265096 371857897644 433834213918 495810530192 650751320877 743715795288 867668427836 1301502641754 1487431590576 1735336855672 2603005283508 3470673711344 5206010567016 10412021134032