Search a number
-
+
2121022211220 = 22325113139334123
BaseRepresentation
bin11110110111010110110…
…001101000010010010100
321111202201200111011122100
4132313112301220102110
5234222323141224340
64302214551002100
7306144623220063
oct36672661502224
97452650434570
102121022211220
1174857a81a370
122a309a069330
1312501c464643
147492d8861da
153a28caa0830
hex1edd6c68494

2121022211220 has 144 divisors (see below), whose sum is σ = 7019084584512. Its totient is φ = 514155755520.

The previous prime is 2121022211197. The next prime is 2121022211233. The reversal of 2121022211220 is 221122201212.

It is a happy number.

2121022211220 is a `hidden beast` number, since 2 + 1 + 210 + 22 + 211 + 220 = 666.

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 = 2121022211193 and 2121022211202.

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, 62141079 + ... + 62175201.

It is an arithmetic number, because the mean of its divisors is an integer number (48743642948).

Almost surely, 22121022211220 is an apocalyptic number.

2121022211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121022211220 is an abundant number, since it is smaller than the sum of its proper divisors (4898062373292).

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

2121022211220 is a wasteful number, since it uses less digits than its factorization.

2121022211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65542 (or 65537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2121022211220 its reverse (221122201212), we get a palindrome (2342144412432).

The spelling of 2121022211220 in words is "two trillion, one hundred twenty-one billion, twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 31393 34123 62786 68246 94179 102369 125572 136492 156965 170615 188358 204738 282537 307107 313930 341230 345323 375353 376716 409476 470895 511845 565074 614214 627860 682460 690646 750706 941790 1023690 1035969 1126059 1130148 1228428 1381292 1412685 1501412 1535535 1726615 1876765 1883580 2047380 2071938 2252118 2825370 3071070 3107907 3378177 3453230 3753530 4143876 4504236 5179845 5630295 5650740 6142140 6215814 6756354 6906460 7507060 10359690 11260590 12431628 13512708 15539535 16890885 20719380 22521180 31079070 33781770 62158140 67563540 1071223339 2142446678 3213670017 4284893356 5356116695 6427340034 9641010051 10712233390 11783456729 12854680068 16068350085 19282020102 21424466780 23566913458 32136700170 35350370187 38564040204 47133826916 48205050255 58917283645 64273400340 70700740374 96410100510 106051110561 117834567290 141401480748 176751850935 192820201020 212102221122 235669134580 353503701870 424204442244 530255552805 707007403740 1060511105610 2121022211220