Search a number
-
+
2321011301220 = 2232561935175923
BaseRepresentation
bin100001110001100111000…
…011011101101101100100
322012212221021020120102200
4201301213003131231210
5301011412343114340
64534131411134500
7326454552354363
oct41614703355544
98185837216380
102321011301220
11815376409737
123159b1ba4430
1313ab414339a1
14804a23277da
15405950bc330
hex21c670ddb64

2321011301220 has 144 divisors (see below), whose sum is σ = 7054970744640. Its totient is φ = 617656451328.

The previous prime is 2321011301183. The next prime is 2321011301239. The reversal of 2321011301220 is 221031101232.

2321011301220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2321011301193 and 2321011301202.

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, 391861179 + ... + 391867101.

Almost surely, 22321011301220 is an apocalyptic number.

2321011301220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2321011301220 is an abundant number, since it is smaller than the sum of its proper divisors (4733959443420).

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

2321011301220 is a wasteful number, since it uses less digits than its factorization.

2321011301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2321011301220 its reverse (221031101232), we get a palindrome (2542042402452).

The spelling of 2321011301220 in words is "two trillion, three hundred twenty-one billion, eleven million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 619 1238 1857 2476 3095 3517 3714 5571 5923 6190 7034 7428 9285 10551 11142 11846 12380 14068 17585 17769 18570 21102 22284 23692 27855 29615 31653 35170 35538 37140 42204 52755 53307 55710 59230 63306 70340 71076 88845 105510 106614 111420 118460 126612 158265 177690 211020 213228 266535 316530 355380 533070 633060 1066140 2177023 3666337 4354046 6531069 7332674 8708092 10885115 10999011 13062138 14665348 18331685 19593207 20831191 21770230 21998022 26124276 32655345 32997033 36663370 39186414 41662382 43540460 43996044 54995055 62493573 65310690 65994066 73326740 78372828 83324764 97966035 104155955 109990110 124987146 130621380 131988132 164985165 187480719 195932070 208311910 219980220 249974292 312467865 329970330 374961438 391864140 416623820 624935730 659940660 749922876 937403595 1249871460 1874807190 3749614380 12894507229 25789014458 38683521687 51578028916 64472536145 77367043374 116050565061 128945072290 154734086748 193417608435 232101130122 257890144580 386835216870 464202260244 580252825305 773670433740 1160505650610 2321011301220