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1002122111211 = 3131743592332557
BaseRepresentation
bin11101001010100110010…
…00011110100011101011
310112210122121112211210120
432211103020132203223
5112404321230024321
62044211334414323
7132254343254124
oct16452310364353
93483577484716
101002122111211
11356aa7896511
121422748013a3
1373665b28a50
143670820b04b
151b102be9ec6
hexe95321e8eb

1002122111211 has 128 divisors (see below), whose sum is σ = 1592871920640. Its totient is φ = 554698948608.

The previous prime is 1002122111183. The next prime is 1002122111213. The reversal of 1002122111211 is 1121112212001.

It is a happy number.

It is not a de Polignac number, because 1002122111211 - 215 = 1002122078443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002122111213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 391911945 + ... + 391914501.

It is an arithmetic number, because the mean of its divisors is an integer number (12444311880).

Almost surely, 21002122111211 is an apocalyptic number.

1002122111211 is a deficient number, since it is larger than the sum of its proper divisors (590749809429).

1002122111211 is a wasteful number, since it uses less digits than its factorization.

1002122111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1002122111211 its reverse (1121112212001), we get a palindrome (2123234323212).

The spelling of 1002122111211 in words is "one trillion, two billion, one hundred twenty-two million, one hundred eleven thousand, two hundred eleven".

Divisors: 1 3 13 17 39 43 51 59 129 177 221 233 559 663 699 731 767 1003 1677 2193 2301 2537 2557 3009 3029 3961 7611 7671 9087 9503 10019 11883 13039 13747 28509 30057 32981 33241 39117 41241 43129 43469 51493 98943 99723 109951 129387 130247 130407 150863 154479 170323 178711 233699 329853 390741 452589 510969 536133 560677 565097 591121 595781 701097 1429363 1682031 1695291 1773363 1787343 1869167 1961219 2214199 2564671 3038087 4288089 5607501 5883657 6487109 6642597 7684573 7694013 7745153 9114261 10049057 10128277 19461327 23053719 23235459 24299171 25618583 30147171 30384831 33340723 35151079 72897513 76855749 84332417 100022169 105453237 110280853 130637741 131667601 252997251 330842559 333041579 391913223 395002803 435515911 456964027 597568343 999124737 1306547733 1370892081 1433651089 1511496397 1792705029 4300953267 4534489191 5661706843 7768388459 16985120529 19649453161 23305165377 25695438749 58948359483 77086316247 334040703737 1002122111211