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20111120222202 = 2382117399829
BaseRepresentation
bin1001001001010011111000…
…01011010100011111111010
32122012121022112202200000000
410210221330023110133322
510114000033234102302
6110434530542053430
74143660210231162
oct444517413243772
978177275680000
1020111120222202
116454095084719
12230980557a276
13b2b6168c1bc9
144d75521255a2
1524d20a4ab31c
hex124a7c2d47fa

20111120222202 has 144 divisors (see below), whose sum is σ = 45528315799200. Its totient is φ = 6662229406560.

The previous prime is 20111120222191. The next prime is 20111120222203. The reversal of 20111120222202 is 20222202111102.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20111120222203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2046095424 + ... + 2046105252.

Almost surely, 220111120222202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111120222202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22764157899600).

20111120222202 is an abundant number, since it is smaller than the sum of its proper divisors (25417195576998).

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

20111120222202 is an frugal number, since it uses more digits than its factorization.

20111120222202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10805 (or 10784 counting only the distinct ones).

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

Adding to 20111120222202 its reverse (20222202111102), we get a palindrome (40333322333304).

The spelling of 20111120222202 in words is "twenty trillion, one hundred eleven billion, one hundred twenty million, two hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 211 243 422 486 633 729 739 1266 1458 1478 1899 2187 2217 3798 4374 4434 5697 6561 6651 9829 11394 13122 13302 17091 19658 19953 29487 34182 39906 51273 58974 59859 88461 102546 119718 153819 155929 176922 179577 265383 307638 311858 359154 461457 467787 530766 538731 796149 922914 935574 1077462 1384371 1403361 1592298 1616193 2073919 2388447 2768742 2806722 3232386 4147838 4210083 4776894 4848579 6221757 7165341 7263631 8420166 9697158 12443514 12630249 14330682 14527262 18665271 21496023 21790893 25260498 37330542 37890747 42992046 43581786 55995813 64488069 65372679 75781494 111991626 113672241 128976138 130745358 167987439 196118037 227344482 335974878 341016723 392236074 503962317 588354111 682033446 1007924634 1023050169 1176708222 1511886951 1532626141 1765062333 2046100338 3023773902 3065252282 3530124666 4535660853 4597878423 5295186999 9071321706 9195756846 10590373998 13606982559 13793635269 15885560997 27213965118 27587270538 31771121994 41380905807 47656682991 82761811614 95313365982 124142717421 248285434842 372428152263 744856304526 1117284456789 2234568913578 3351853370367 6703706740734 10055560111101 20111120222202