Search a number
-
+
100210220221111 = 71121318150281321
BaseRepresentation
bin10110110010010000000010…
…100101000100001010110111
3111010211000002112202020110221
4112302100002211010022313
5101113321012334033421
6553043534543355211
730051643450425250
oct2662200245041267
9433730075666427
10100210220221111
1129a25a08926800
12b2a54b3bb2b07
1343bba24969820
141aa62b43bdb27
15b8ba70102841
hex5b24029442b7

100210220221111 has 48 divisors (see below), whose sum is σ = 136316284197184. Its totient is φ = 71681049792000.

The previous prime is 100210220221103. The next prime is 100210220221127. The reversal of 100210220221111 is 111122022012001.

It is not a de Polignac number, because 100210220221111 - 23 = 100210220221103 is a prime.

It is a super-4 number, since 4×1002102202211114 (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210220221171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23147670 + ... + 27133651.

Almost surely, 2100210220221111 is an apocalyptic number.

100210220221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100210220221111 is a deficient number, since it is larger than the sum of its proper divisors (36106063976073).

100210220221111 is a wasteful number, since it uses less digits than its factorization.

100210220221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50281544 (or 50281533 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100210220221111 its reverse (111122022012001), we get a palindrome (211332242233112).

The spelling of 100210220221111 in words is "one hundred trillion, two hundred ten billion, two hundred twenty million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 7 11 13 77 91 121 143 181 847 1001 1267 1573 1991 2353 11011 13937 16471 21901 25883 153307 181181 284713 1992991 50281321 351969247 553094531 653657173 3871661717 4575600211 6084039841 7190228903 9100919101 42588278887 50331602321 63706433707 79092517933 100110110111 118311948313 553647625531 700770770777 828183638191 1101211211221 1301431431443 7708478478547 9110020020101 14315745745873 100210220221111