Search a number
-
+
10222021021020 = 2235229225712641
BaseRepresentation
bin1001010010111111111111…
…1011101000110101011100
31100012012211012221201012220
42110233333323220311130
52314434144340133040
633423533122025340
72103342132030624
oct224577773506534
940165735851186
1010222021021020
113291153419246
12119111a1a8250
13591c17779743
14274a69aa3884
1512ad717992d0
hex94bffee8d5c

10222021021020 has 144 divisors (see below), whose sum is σ = 28861329799008. Its totient is φ = 2703194849280.

The previous prime is 10222021021019. The next prime is 10222021021031. The reversal of 10222021021020 is 2012012022201.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 808633900 + ... + 808646540.

It is an arithmetic number, because the mean of its divisors is an integer number (200425901382).

Almost surely, 210222021021020 is an apocalyptic number.

10222021021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222021021020 is an abundant number, since it is smaller than the sum of its proper divisors (18639308777988).

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

10222021021020 is a wasteful number, since it uses less digits than its factorization.

10222021021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13368 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222021021020 its reverse (2012012022201), we get a palindrome (12234033043221).

The spelling of 10222021021020 in words is "ten trillion, two hundred twenty-two billion, twenty-one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 229 257 458 514 687 771 916 1028 1145 1285 1374 1542 2290 2570 2748 3084 3435 3855 4580 5140 6870 7710 12641 13740 15420 25282 37923 50564 52441 58853 63205 75846 104882 117706 126410 151692 157323 176559 189615 209764 235412 252820 262205 294265 314646 353118 379230 524410 588530 629292 706236 758460 786615 882795 1048820 1177060 1573230 1765590 2894789 3146460 3248737 3531180 5789578 6497474 8684367 9746211 11579156 12994948 13477337 14473945 16243685 17368734 19492422 26954674 28947890 32487370 34737468 38984844 40432011 43421835 48731055 53909348 57895780 64974740 67386685 80864022 86843670 97462110 134773370 161728044 173687340 194924220 202160055 269546740 404320110 662906681 743960773 808640220 1325813362 1487921546 1988720043 2231882319 2651626724 2975843092 3314533405 3719803865 3977440086 4463764638 6629066810 7439607730 7954880172 8927529276 9943600215 11159411595 13258133620 14879215460 19887200430 22318823190 39774400860 44637646380 170367017017 340734034034 511101051051 681468068068 851835085085 1022202102102 1703670170170 2044404204204 2555505255255 3407340340340 5111010510510 10222021021020