Search a number
-
+
2331021220300 = 22521671732832851
BaseRepresentation
bin100001111010111011101…
…100010001100111001100
322020211202212200010222101
4201322323230101213030
5301142412413022200
64542504550324444
7330260610311053
oct41727354214714
98224685603871
102331021220300
11819642789033
12317926359724
1313ba781b4c26
1480b7190d39a
154097dc8926a
hex21ebbb119cc

2331021220300 has 144 divisors (see below), whose sum is σ = 5137905652992. Its totient is φ = 917889696000.

The previous prime is 2331021220271. The next prime is 2331021220313. The reversal of 2331021220300 is 30221201332.

It is a super-2 number, since 2×23310212203002 (a number of 26 digits) contains 22 as substring.

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, 817613875 + ... + 817616725.

It is an arithmetic number, because the mean of its divisors is an integer number (35679900368).

Almost surely, 22331021220300 is an apocalyptic number.

2331021220300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331021220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568952826496).

2331021220300 is an abundant number, since it is smaller than the sum of its proper divisors (2806884432692).

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

2331021220300 is a wasteful number, since it uses less digits than its factorization.

2331021220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2331021220300 its reverse (30221201332), we get a palindrome (2361242421632).

The spelling of 2331021220300 in words is "two trillion, three hundred thirty-one billion, twenty-one million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 173 283 334 346 566 668 692 835 865 1132 1415 1670 1730 2830 2851 3340 3460 4175 4325 5660 5702 7075 8350 8650 11404 14150 14255 16700 17300 28300 28510 28891 47261 48959 57020 57782 71275 94522 97918 115564 142550 144455 189044 195836 236305 244795 285100 288910 472610 476117 489590 493223 577820 722275 806833 945220 952234 979180 986446 1181525 1223975 1444550 1613666 1904468 1972892 2363050 2380585 2447950 2466115 2889100 3227332 4034165 4726100 4761170 4895900 4932230 8068330 8176153 9522340 9864460 11902925 12330575 16136660 16352306 20170825 23805850 24661150 32704612 40341650 40880765 47611700 49322300 80683300 81761530 82368241 134741111 139582109 163523060 164736482 204403825 269482222 279164218 329472964 408807650 411841205 538964444 558328436 673705555 697910545 817615300 823682410 1347411110 1395821090 1647364820 2059206025 2694822220 2791642180 3368527775 3489552725 4118412050 6737055550 6979105450 8236824100 13474111100 13958210900 23310212203 46620424406 93240848812 116551061015 233102122030 466204244060 582755305075 1165510610150 2331021220300