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2220231134121 = 3711134183921493
BaseRepresentation
bin100000010011110000000…
…101101000101110101001
321212020210201120122010020
4200103300011220232221
5242334013132242441
64415543214311053
7316256253154260
oct40236005505651
97766721518106
102220231134121
1178665a659540
122ba366ab8489
131314a00c6710
14796618215d7
153cb47626e66
hex204f0168ba9

2220231134121 has 128 divisors (see below), whose sum is σ = 4076665528320. Its totient is φ = 1037393049600.

The previous prime is 2220231134119. The next prime is 2220231134159. The reversal of 2220231134121 is 1214311320222.

It is not a de Polignac number, because 2220231134121 - 21 = 2220231134119 is a prime.

It is a super-3 number, since 3×22202311341213 (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2220231134091 and 2220231134100.

It is not an unprimeable number, because it can be changed into a prime (2220231134101) 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 127 ways as a sum of consecutive naturals, for example, 103289451 + ... + 103310943.

It is an arithmetic number, because the mean of its divisors is an integer number (31848949440).

Almost surely, 22220231134121 is an apocalyptic number.

2220231134121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2220231134121 is a deficient number, since it is larger than the sum of its proper divisors (1856434394199).

2220231134121 is a wasteful number, since it uses less digits than its factorization.

2220231134121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22407.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2220231134121 its reverse (1214311320222), we get a palindrome (3434542454343).

The spelling of 2220231134121 in words is "two trillion, two hundred twenty billion, two hundred thirty-one million, one hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 41 77 91 123 143 231 273 287 429 451 533 839 861 1001 1353 1599 2517 3003 3157 3731 5863 5873 9229 9471 10907 11193 17589 17619 21493 27687 32721 34399 41041 64479 64603 76349 103197 119977 123123 150451 193809 229047 236423 240793 279409 359931 378389 447187 451353 709269 722379 838227 839839 881213 1135167 1341561 1654961 1955863 2519517 2643639 2648723 3073499 3130309 4919057 4964883 5867589 6168491 7946169 9220497 9390927 9693343 11455769 14757171 18032627 18505473 21514493 29080029 34367307 34433399 54097881 64543479 67853401 80190383 103300197 126013459 126228389 198358897 203560203 234424151 240571149 378040377 378685167 595076691 703272453 739337707 882094213 1388512279 1640969057 2218013121 2578665661 2646282639 4165536837 4922907171 5175363949 7735996983 8132714777 9611390191 15526091847 18050659627 24398144331 28834170573 54151978881 56929003439 67279731337 105725292101 170787010317 201839194011 317175876303 740077044707 2220231134121