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2230213113100 = 2252753183132831
BaseRepresentation
bin100000011101000011000…
…011110111010100001100
321220012120101102201001101
4200131003003313110030
5243014434024104400
64424313514552444
7320061521451640
oct40350303672414
97805511381041
102230213113100
1178a912185045
12300291a38724
1313240114445b
1479d2b412c20
153d02db2556a
hex207430f750c

2230213113100 has 144 divisors (see below), whose sum is σ = 5638535110656. Its totient is φ = 749784672000.

The previous prime is 2230213113043. The next prime is 2230213113133. The reversal of 2230213113100 is 13113120322.

It is a super-2 number, since 2×22302131131002 (a number of 25 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, 67913685 + ... + 67946515.

It is an arithmetic number, because the mean of its divisors is an integer number (39156493824).

Almost surely, 22230213113100 is an apocalyptic number.

2230213113100 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 2230213113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819267555328).

2230213113100 is an abundant number, since it is smaller than the sum of its proper divisors (3408321997556).

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

2230213113100 is a wasteful number, since it uses less digits than its factorization.

2230213113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34736 (or 34729 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2230213113100 its reverse (13113120322), we get a palindrome (2243326233422).

The spelling of 2230213113100 in words is "two trillion, two hundred thirty billion, two hundred thirteen million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 530 700 742 1060 1325 1484 1831 1855 2650 3662 3710 5300 7324 7420 9155 9275 12817 18310 18550 25634 32831 36620 37100 45775 51268 64085 65662 91550 97043 128170 131324 164155 183100 194086 229817 256340 320425 328310 388172 459634 485215 640850 656620 679301 820775 919268 970430 1149085 1281700 1358602 1641550 1740043 1940860 2298170 2426075 2717204 3283100 3396505 3480086 4596340 4852150 5745425 6793010 6960172 8700215 9704300 11490850 12180301 13586020 16982525 17400430 22981700 24360602 33965050 34800860 43501075 48721204 60113561 60901505 67930100 87002150 120227122 121803010 174004300 240454244 243606020 300567805 304507525 420794927 601135610 609015050 841589854 1202271220 1218030100 1502839025 1683179708 2103974635 3005678050 3186018733 4207949270 6011356100 6372037466 8415898540 10519873175 12744074932 15930093665 21039746350 22302131131 31860187330 42079492700 44604262262 63720374660 79650468325 89208524524 111510655655 159300936650 223021311310 318601873300 446042622620 557553278275 1115106556550 2230213113100