Search a number
-
+
22102012001214 = 235431567674929
BaseRepresentation
bin1010000011010000001101…
…00100101111101110111110
32220020221011012212221200000
411001220012210233232332
510344104410033014324
6115001305114215130
74440550314153135
oct501500644575676
986227135787600
1022102012001214
117051457638242
12258b6271244a6
13c442981445b2
14565a5906c91c
15284dcda319c9
hex141a0692fbbe

22102012001214 has 96 divisors (see below), whose sum is σ = 50848729451520. Its totient is φ = 7191401035392.

The previous prime is 22102012001197. The next prime is 22102012001269. The reversal of 22102012001214 is 41210021020122.

It is a super-3 number, since 3×221020120012143 (a number of 41 digits) contains 333 as substring.

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

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, 32409702 + ... + 33084630.

It is an arithmetic number, because the mean of its divisors is an integer number (529674265120).

Almost surely, 222102012001214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102012001214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25424364725760).

22102012001214 is an abundant number, since it is smaller than the sum of its proper divisors (28746717450306).

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

22102012001214 is a wasteful number, since it uses less digits than its factorization.

22102012001214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676556 (or 676544 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22102012001214 its reverse (41210021020122), we get a palindrome (63312033021336).

The spelling of 22102012001214 in words is "twenty-two trillion, one hundred two billion, twelve million, one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 774 1161 1567 2322 3134 3483 4701 6966 9402 10449 14103 20898 28206 42309 67381 84618 126927 134762 202143 253854 380781 404286 606429 674929 761562 1212858 1349858 1819287 2024787 3638574 4049574 5457861 6074361 10915722 12148722 16373583 18223083 29021947 32747166 36446166 54669249 58043894 87065841 109338498 164007747 174131682 261197523 328015494 522395046 783592569 1057613743 1567185138 2115227486 2350777707 3172841229 4701555414 6345682458 7052333121 9518523687 14104666242 19037047374 28555571061 45477390949 57111142122 85666713183 90954781898 136432172847 171333426366 257000139549 272864345694 409296518541 514000279098 818593037082 1227889555623 2455779111246 3683668666869 7367337333738 11051006000607 22102012001214