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21022122013020 = 22325296954497219
BaseRepresentation
bin1001100011110100110000…
…00111010111000101011100
32202102200202211100122000100
410301322120013113011130
510223411301213404040
6112413232440101100
74266540531543462
oct461723007270534
982380684318010
1021022122013020
116775482915817
12243628a164790
13b964ba7817bb
14529694726832
15266c787ccb30
hex131e981d715c

21022122013020 has 144 divisors (see below), whose sum is σ = 63809125380000. Its totient is φ = 5602206468096.

The previous prime is 21022122013003. The next prime is 21022122013031. The reversal of 21022122013020 is 2031022122012.

21022122013020 is a `hidden beast` number, since 210 + 221 + 2 + 201 + 30 + 2 + 0 = 666.

It is a super-2 number, since 2×210221220130202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21022122012984 and 21022122013002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2912050971 + ... + 2912058189.

It is an arithmetic number, because the mean of its divisors is an integer number (443118926250).

Almost surely, 221022122013020 is an apocalyptic number.

21022122013020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022122013020 is an abundant number, since it is smaller than the sum of its proper divisors (42787003366980).

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

21022122013020 is a wasteful number, since it uses less digits than its factorization.

21022122013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15652 (or 15647 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21022122013020 its reverse (2031022122012), we get a palindrome (23053144135032).

The spelling of 21022122013020 in words is "twenty-one trillion, twenty-two billion, one hundred twenty-two million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2969 5449 5938 7219 8907 10898 11876 14438 14845 16347 17814 21657 21796 26721 27245 28876 29690 32694 35628 36095 43314 44535 49041 53442 54490 59380 64971 65388 72190 81735 86628 89070 98082 106884 108285 108980 129942 133605 144380 163470 178140 196164 216570 245205 259884 267210 324855 326940 433140 490410 534420 649710 980820 1299420 16178081 21433211 32356162 39336331 42866422 48534243 64299633 64712324 78672662 80890405 85732844 97068486 107166055 118008993 128599266 145602729 157345324 161780810 192898899 194136972 196681655 214332110 236017986 242671215 257198532 291205458 321498165 323561620 354026979 385797798 393363310 428664220 472035972 485342430 582410916 590044965 642996330 708053958 728013645 771595596 786726620 964494495 970684860 1180089930 1285992660 1416107916 1456027290 1770134895 1928988990 2360179860 2912054580 3540269790 3857977980 7080539580 116789566739 233579133478 350368700217 467158266956 583947833695 700737400434 1051106100651 1167895667390 1401474800868 1751843501085 2102212201302 2335791334780 3503687002170 4204424402604 5255530503255 7007374004340 10511061006510 21022122013020