Search a number
-
+
100222102200010 = 25723120143327553
BaseRepresentation
bin10110110010011011000110…
…110011001101111011001010
3111010212010202121210022022111
4112302123012303031323022
5101114014331130400020
6553053221555412534
730052544056532200
oct2662330663157312
9433763677708274
10100222102200010
1129a2aa559a837a
12b2a786b2b414a
1343bcb9951b07b
141aa6ac0479070
15b8c01830dd5a
hex5b26c6ccdeca

100222102200010 has 96 divisors (see below), whose sum is σ = 216633670981632. Its totient is φ = 33251664015360.

The previous prime is 100222102199969. The next prime is 100222102200037. The reversal of 100222102200010 is 10002201222001.

It is a happy 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, 305808394 + ... + 306135946.

It is an arithmetic number, because the mean of its divisors is an integer number (2256600739392).

Almost surely, 2100222102200010 is an apocalyptic number.

100222102200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100222102200010 is an abundant number, since it is smaller than the sum of its proper divisors (116411568781622).

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

100222102200010 is a wasteful number, since it uses less digits than its factorization.

100222102200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347748 (or 347741 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100222102200010 its reverse (10002201222001), we get a palindrome (110224303422011).

The spelling of 100222102200010 in words is "one hundred trillion, two hundred twenty-two billion, one hundred two million, two hundred thousand, ten".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 98 155 217 245 310 434 490 1085 1519 2170 3038 7595 15190 20143 40286 100715 141001 201430 282002 327553 624433 655106 705005 987007 1248866 1410010 1637765 1974014 2292871 3122165 3275530 4371031 4585742 4935035 6244330 8742062 9870070 10154143 11464355 16050097 20308286 21855155 22928710 30597217 32100194 43710310 50770715 61194434 71079001 80250485 101541430 142158002 152986085 160500970 305972170 355395005 497553007 710790010 995106014 2487765035 4975530070 6597900079 13195800158 32989500395 46185300553 65979000790 92370601106 204534902449 230926502765 323297103871 409069804898 461853005530 646594207742 1022674512245 1431744317143 1616485519355 2045349024490 2863488634286 3232971038710 7158721585715 10022210220001 14317443171430 20044420440002 50111051100005 100222102200010