Search a number
-
+
21013320144120 = 23354716992192917
BaseRepresentation
bin1001100011100100010110…
…11110111001010011111000
32202101212001102002100202220
410301302023132321103320
510223240234424102440
6112405215213324040
74266106443104223
oct461621336712370
982355042070686
1021013320144120
1167717764503a7
122434632496620
13b95717082c55
1452909b7685ba
15266910bdb8d0
hex131c8b7b94f8

21013320144120 has 128 divisors (see below), whose sum is σ = 64419159168000. Its totient is φ = 5481097053696.

The previous prime is 21013320144083. The next prime is 21013320144143. The reversal of 21013320144120 is 2144102331012.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8485902 + ... + 10678818.

It is an arithmetic number, because the mean of its divisors is an integer number (503274681000).

Almost surely, 221013320144120 is an apocalyptic number.

21013320144120 is a gapful number since it is divisible by the number (20) 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 21013320144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32209579584000).

21013320144120 is an abundant number, since it is smaller than the sum of its proper divisors (43405839023880).

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

21013320144120 is a wasteful number, since it uses less digits than its factorization.

21013320144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194677 (or 2194673 counting only the distinct ones).

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

Adding to 21013320144120 its reverse (2144102331012), we get a palindrome (23157422475132).

The spelling of 21013320144120 in words is "twenty-one trillion, thirteen billion, three hundred twenty million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1699 1880 2820 3398 5097 5640 6796 8495 10194 13592 16990 20388 25485 33980 40776 50970 67960 79853 101940 159706 203880 239559 319412 399265 479118 638824 798530 958236 1197795 1597060 1916472 2192917 2395590 3194120 4385834 4791180 6578751 8771668 9582360 10964585 13157502 17543336 21929170 26315004 32893755 43858340 52630008 65787510 87716680 103067099 131575020 206134198 263150040 309201297 412268396 515335495 618402594 824536792 1030670990 1236805188 1546006485 2061341980 2473610376 3092012970 3725765983 4122683960 6184025940 7451531966 11177297949 12368051880 14903063932 18628829915 22354595898 29806127864 37257659830 44709191796 55886489745 74515319660 89418383592 111772979490 149030639320 175111001201 223545958980 350222002402 447091917960 525333003603 700444004804 875555006005 1050666007206 1400888009608 1751110012010 2101332014412 2626665018015 3502220024020 4202664028824 5253330036030 7004440048040 10506660072060 21013320144120