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100231221222 = 232115915156821
BaseRepresentation
bin101110101011000111…
…1110000111111100110
3100120201021201121010200
41131112033300333212
53120233143034342
6114013502531330
710145552215566
oct1352617607746
9316637647120
10100231221222
1139564a03020
1217513296b46
1395b46a8832
144bcba4cda6
1529196ae94c
hex17563f0fe6

100231221222 has 96 divisors (see below), whose sum is σ = 242525387520. Its totient is φ = 29660040000.

The previous prime is 100231221187. The next prime is 100231221239. The reversal of 100231221222 is 222122132001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100231221195 and 100231221204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1735572 + ... + 1792392.

It is an arithmetic number, because the mean of its divisors is an integer number (2526306120).

Almost surely, 2100231221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100231221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121262693760).

100231221222 is an abundant number, since it is smaller than the sum of its proper divisors (142294166298).

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

100231221222 is a wasteful number, since it uses less digits than its factorization.

100231221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57050 (or 57047 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100231221222 its reverse (222122132001), we get a palindrome (322353353223).

The spelling of 100231221222 in words is "one hundred billion, two hundred thirty-one million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 151 177 198 302 354 453 531 649 906 1062 1298 1359 1661 1947 2718 3322 3894 4983 5841 8909 9966 11682 14949 17818 26727 29898 53454 56821 80181 97999 113642 160362 170463 195998 293997 340926 511389 587994 625031 881991 1022778 1250062 1763982 1875093 3352439 3750186 5625279 6704878 8579971 10057317 11250558 17159942 20114634 25739913 30171951 36876829 51479826 60343902 73753658 77219739 94379681 110630487 154439478 188759362 221260974 283139043 331891461 506218289 566278086 663782922 849417129 1012436578 1518654867 1698834258 3037309734 4555964601 5568401179 9111929202 11136802358 16705203537 33410407074 50115610611 100231221222