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2313120021210 = 232537226777013
BaseRepresentation
bin100001101010010000101…
…100100111101011011010
322012010120022102000022200
4201222100230213223122
5300344232211134320
64530344353431030
7326055161525205
oct41522054475332
98163508360280
102313120021210
11811a96a49219
1231436b26b476
1313a18459842b
147dd5428093c
15402823ea290
hex21a90b27ada

2313120021210 has 144 divisors (see below), whose sum is σ = 6184239339096. Its totient is φ = 599851132416.

The previous prime is 2313120021089. The next prime is 2313120021257. The reversal of 2313120021210 is 121200213132.

2313120021210 is a `hidden beast` number, since 2 + 313 + 120 + 0 + 21 + 210 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 826766477289 + 1486353543921 = 909267^2 + 1219161^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329829664 + ... + 329836676.

Almost surely, 22313120021210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313120021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092119669548).

2313120021210 is an abundant number, since it is smaller than the sum of its proper divisors (3871119317886).

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

2313120021210 is a wasteful number, since it uses less digits than its factorization.

2313120021210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9777 (or 9737 counting only the distinct ones).

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

Adding to 2313120021210 its reverse (121200213132), we get a palindrome (2434320234342).

The spelling of 2313120021210 in words is "two trillion, three hundred thirteen billion, one hundred twenty million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1369 1665 2677 2738 3330 4107 5354 6845 7013 8031 8214 12321 13385 13690 14026 16062 20535 21039 24093 24642 26770 35065 40155 41070 42078 48186 61605 63117 70130 80310 99049 105195 120465 123210 126234 198098 210390 240930 259481 297147 315585 495245 518962 594294 631170 778443 891441 990490 1297405 1485735 1556886 1782882 2335329 2594810 2971470 3664813 3892215 4457205 4670658 7329626 7784430 8914410 9600797 10994439 11676645 18324065 18773801 19201594 21988878 23353290 28802391 32983317 36648130 37547602 48003985 54972195 56321403 57604782 65966634 86407173 93869005 96007970 109944390 112642806 144011955 164916585 168964209 172814346 187738010 281607015 288023910 329833170 337928418 432035865 563214030 694630637 844821045 864071730 1389261274 1689642090 2083891911 3473153185 4167783822 6251675733 6946306370 10419459555 12503351466 20838919110 25701333569 31258378665 51402667138 62516757330 77104000707 128506667845 154208001414 231312002121 257013335690 385520003535 462624004242 771040007070 1156560010605 2313120021210