Search a number
-
+
1111022200998 = 2323747349101701
BaseRepresentation
bin10000001010101110000…
…101010110100010100110
310221012202001021121000100
4100022232011112202212
5121200333140412443
62210221353324530
7143161110614223
oct20125605264246
93835661247010
101111022200998
11399200082816
1215b3a7106746
13809cc4a6ab8
143bab92b694a
151dd784783d3
hex102ae1568a6

1111022200998 has 96 divisors (see below), whose sum is σ = 2532135715200. Its totient is φ = 351650937600.

The previous prime is 1111022200979. The next prime is 1111022200999. The reversal of 1111022200998 is 8990022201111.

It is a super-2 number, since 2×11110222009982 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111022200999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10873548 + ... + 10975248.

It is an arithmetic number, because the mean of its divisors is an integer number (26376413700).

Almost surely, 21111022200998 is an apocalyptic number.

1111022200998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111022200998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266067857600).

1111022200998 is an abundant number, since it is smaller than the sum of its proper divisors (1421113514202).

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

1111022200998 is a wasteful number, since it uses less digits than its factorization.

1111022200998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102142 (or 102139 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 1111022200998 in words is "one trillion, one hundred eleven billion, twenty-two million, two hundred thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 282 333 349 423 666 698 846 1047 1739 2094 3141 3478 5217 6282 10434 12913 15651 16403 25826 31302 32806 38739 49209 77478 98418 101701 116217 147627 203402 232434 295254 305103 606911 610206 915309 1213822 1820733 1830618 3641466 3762937 4779947 5462199 7525874 9559894 10924398 11288811 14339841 22577622 28679682 33866433 35493649 43019523 67732866 70987298 86039046 106480947 176858039 212961894 319442841 353716078 530574117 638885682 1061148234 1313265013 1591722351 1668201503 2626530026 3183444702 3336403006 3939795039 5004604509 7879590078 10009209018 11819385117 15013813527 23638770234 30027627054 61723455611 123446911222 185170366833 370340733666 555511100499 1111022200998