Search a number
-
+
10100322111320 = 23573985174731
BaseRepresentation
bin1001001011111010101000…
…0111001000111101011000
31022202120200210222112201222
42102332222013020331120
52310440424430030240
633252005100031212
72061503253254000
oct222765207107530
938676623875658
1010100322111320
113244582576121
121171615532508
135835c160817c
1426cc02c7b000
15127aec5a7eb5
hex92faa1c8f58

10100322111320 has 128 divisors (see below), whose sum is σ = 26505347904000. Its totient is φ = 3462569712000.

The previous prime is 10100322111317. The next prime is 10100322111323. The reversal of 10100322111320 is 2311122300101.

10100322111320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10100322111317) and next prime (10100322111323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100322111323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135118355 + ... + 135193085.

It is an arithmetic number, because the mean of its divisors is an integer number (207073030500).

Almost surely, 210100322111320 is an apocalyptic number.

10100322111320 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 10100322111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13252673952000).

10100322111320 is an abundant number, since it is smaller than the sum of its proper divisors (16405025792680).

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

10100322111320 is an equidigital number, since it uses as much as digits as its factorization.

10100322111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84614 (or 84596 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10100322111320 its reverse (2311122300101), we get a palindrome (12411444411421).

The spelling of 10100322111320 in words is "ten trillion, one hundred billion, three hundred twenty-two million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 9851 13720 19702 39404 49255 68957 74731 78808 98510 137914 149462 197020 275828 298924 344785 373655 394040 482699 523117 551656 597848 689570 747310 965398 1046234 1379140 1494620 1930796 2092468 2413495 2615585 2758280 2989240 3378893 3661819 3861592 4184936 4826990 5231170 6757786 7323638 9653980 10462340 13515572 14647276 16894465 18309095 19307960 20924680 25632733 27031144 29294552 33788930 36618190 51265466 67577860 73236380 102530932 128163665 135155720 146472760 205061864 256327330 512654660 736175081 1025309320 1472350162 2944700324 3680875405 5153225567 5889400648 7361750810 10306451134 14723501620 20612902268 25766127835 29447003240 36072578969 41225804536 51532255670 72145157938 103064511340 144290315876 180362894845 206129022680 252508052783 288580631752 360725789690 505016105566 721451579380 1010032211132 1262540263915 1442903158760 2020064422264 2525080527830 5050161055660 10100322111320