Search a number
-
+
1002450244221 = 35236112372377
BaseRepresentation
bin11101001011001101011…
…00001101001001111101
310112211111110222201200000
432211212230031021331
5112411004230303341
62044304055424513
7132265436325126
oct16454654151175
93484443881600
101002450244221
11357156035718
12142346685139
13736b8ac6aaa
1436739a2504d
151b1219148b6
hexe966b0d27d

1002450244221 has 96 divisors (see below), whose sum is σ = 1594545109248. Its totient is φ = 627991626240.

The previous prime is 1002450244219. The next prime is 1002450244303. The reversal of 1002450244221 is 1224420542001.

It is a happy number.

It is not a de Polignac number, because 1002450244221 - 21 = 1002450244219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002450244721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421727985 + ... + 421730361.

It is an arithmetic number, because the mean of its divisors is an integer number (16609844888).

Almost surely, 21002450244221 is an apocalyptic number.

It is an amenable number.

1002450244221 is a deficient number, since it is larger than the sum of its proper divisors (592094865027).

1002450244221 is a wasteful number, since it uses less digits than its factorization.

1002450244221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1002450244221 its reverse (1224420542001), we get a palindrome (2226870786222).

The spelling of 1002450244221 in words is "one trillion, two billion, four hundred fifty million, two hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 23 27 61 69 81 183 207 243 549 621 1237 1403 1647 1863 2377 3711 4209 4941 5589 7131 11133 12627 14823 21393 28451 33399 37881 54671 64179 75457 85353 100197 113643 144997 164013 192537 226371 256059 300591 340929 434991 492039 577611 679113 768177 1304973 1476117 1735511 2037339 2304531 2940349 3334931 3914919 4428351 5206533 6112017 6913593 8821047 10004793 11744757 13285053 15619599 18336051 26463141 30014379 35234271 46858797 67628027 79389423 90043137 140576391 179361289 202884081 238168269 270129411 421729173 538083867 608652243 714504807 810388233 1614251601 1825956729 4125309647 4842754803 5477870187 12375928941 14528264409 16433610561 37127786823 43584793227 111383360469 334150081407 1002450244221