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10100021433520 = 2456726933121163
BaseRepresentation
bin1001001011111001100000…
…1100001001010010110000
31022202112220212012112100011
42102332120030021102300
52310434320441333040
633251515155304304
72061462642452224
oct222763014112260
938675825175304
1010100021433520
113244438879477
1211715508ab094
13583574230a05
1426cbb4d6c784
15127ad0eb33ea
hex92f983094b0

10100021433520 has 160 divisors (see below), whose sum is σ = 23995038862080. Its totient is φ = 3952750095360.

The previous prime is 10100021433487. The next prime is 10100021433533. The reversal of 10100021433520 is 2533412000101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100021433491 and 10100021433500.

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, 477238459 + ... + 477259621.

It is an arithmetic number, because the mean of its divisors is an integer number (149968992888).

Almost surely, 210100021433520 is an apocalyptic number.

10100021433520 is a gapful number since it is divisible by the number (10) 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 10100021433520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11997519431040).

10100021433520 is an abundant number, since it is smaller than the sum of its proper divisors (13895017428560).

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

10100021433520 is a wasteful number, since it uses less digits than its factorization.

10100021433520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21843 (or 21837 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 10100021433520 its reverse (2533412000101), we get a palindrome (12633433433621).

The spelling of 10100021433520 in words is "ten trillion, one hundred billion, twenty-one million, four hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 269 331 335 536 538 662 670 1072 1076 1324 1340 1345 1655 2152 2648 2680 2690 3310 4304 5296 5360 5380 6620 10760 13240 18023 21163 21520 22177 26480 36046 42326 44354 72092 84652 88708 89039 90115 105815 110885 144184 169304 177416 178078 180230 211630 221770 288368 338608 354832 356156 360460 423260 443540 445195 712312 720920 846520 887080 890390 1417921 1424624 1441840 1693040 1774160 1780780 2835842 3561560 5671684 5692847 5965613 7004953 7089605 7123120 11343368 11385694 11931226 14009906 14179210 22686736 22771388 23862452 28019812 28358420 28464235 29828065 35024765 45542776 47724904 56039624 56716840 56928470 59656130 70049530 91085552 95449808 112079248 113433680 113856940 119312260 140099060 227713880 238624520 280198120 381420749 455427760 469331851 477249040 560396240 762841498 938663702 1525682996 1877327404 1884332357 1907103745 2346659255 3051365992 3754654808 3768664714 3814207490 4693318510 6102731984 7509309616 7537329428 7628414980 9386637020 9421661785 15074658856 15256829960 18773274040 18843323570 30149317712 30513659920 37546548080 37686647140 75373294280 126250267919 150746588560 252500535838 505001071676 631251339595 1010002143352 1262502679190 2020004286704 2525005358380 5050010716760 10100021433520