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100222122433433 = 72111328979715511
BaseRepresentation
bin10110110010011011001000…
…000000011001101110011001
3111010212010211000212021100112
4112302123020000121232121
5101114014401320332213
6553053224001214105
730052544423522600
oct2662331000315631
9433763730767315
10100222122433433
1129a2aa66368010
12b2a7876031335
1343bcba0783800
141aa6ac3024a37
15b8c019ea8ea8
hex5b26c8019b99

100222122433433 has 144 divisors (see below), whose sum is σ = 139450600356480. Its totient is φ = 71183842329600.

The previous prime is 100222122433427. The next prime is 100222122433439. The reversal of 100222122433433 is 334334221222001.

It is an interprime number because it is at equal distance from previous prime (100222122433427) and next prime (100222122433439).

It is not a de Polignac number, because 100222122433433 - 28 = 100222122433177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100222122433433.

It is not an unprimeable number, because it can be changed into a prime (100222122433439) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6461350148 + ... + 6461365658.

It is an arithmetic number, because the mean of its divisors is an integer number (968406946920).

Almost surely, 2100222122433433 is an apocalyptic number.

100222122433433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100222122433433 is a deficient number, since it is larger than the sum of its proper divisors (39228477923047).

100222122433433 is a wasteful number, since it uses less digits than its factorization.

100222122433433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448 (or 16428 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 100222122433433 its reverse (334334221222001), we get a palindrome (434556343655434).

The spelling of 100222122433433 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-two million, four hundred thirty-three thousand, four hundred thirty-three".

Divisors: 1 7 11 13 49 77 89 91 143 169 539 623 637 797 979 1001 1157 1183 1859 4361 5579 6853 7007 8099 8281 8767 10361 12727 13013 15041 15511 39053 47971 56693 61369 70933 72527 89089 91091 105287 108577 113971 134693 165451 170621 201643 429583 496531 507689 623623 737009 760039 780263 797797 922129 942851 1158157 1194347 1380479 1411501 1481623 2218073 2621359 3475717 5461841 5584579 6454903 6599957 8107099 8360429 9663353 9880507 10143419 10371361 11987677 12362267 15185269 15526511 17946227 18349513 28834949 38232887 45184321 67643471 71003933 72599527 83913739 86535869 106296883 108685577 125623589 128446591 131864447 135984937 160709471 197408497 201844643 233300951 497027531 587396173 605751083 744078181 879365123 923051129 951894559 1100241763 1124966297 1381859479 1412912501 1633106657 1767804181 2089223123 2566310461 6461357903 6663261913 7701692341 7874764079 9673016353 11431746599 12102659393 12374629267 14303142919 14624561861 17964173227 22981454353 53911846387 84718615751 86622404869 100122000433 102371933027 125749212589 157334572109 160870180471 185940857947 593030310257 700854003031 1101342004763 1126091263297 1301586005629 2045349437417 7709394033341 9111102039403 14317446061919 100222122433433