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10001321022 = 23711131257643
BaseRepresentation
bin10010101000010000…
…00000110000111110
3221211000020202020010
421110020000300332
5130440314233042
64332231004050
7502561553220
oct112410006076
927730222203
1010001321022
114272537570
121b31509626
13c35060844
146ac3c8410
153d806e59c
hex254200c3e

10001321022 has 128 divisors (see below), whose sum is σ = 25265737728. Its totient is φ = 2563891200.

The previous prime is 10001321021. The next prime is 10001321027. The reversal of 10001321022 is 22012310001.

It is a junction number, because it is equal to n+sod(n) for n = 10001320989 and 10001321007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001321021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15553833 + ... + 15554475.

It is an arithmetic number, because the mean of its divisors is an integer number (197388576).

Almost surely, 210001321022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001321022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632868864).

10001321022 is an abundant number, since it is smaller than the sum of its proper divisors (15264416706).

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

10001321022 is a wasteful number, since it uses less digits than its factorization.

10001321022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10001321022 its reverse (22012310001), we get a palindrome (32013631023).

The spelling of 10001321022 in words is "ten billion, one million, three hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 131 154 231 257 262 393 462 514 643 771 786 917 1286 1441 1542 1799 1834 1929 2751 2827 2882 3598 3858 4323 4501 5397 5502 5654 7073 8481 8646 9002 10087 10794 13503 14146 16962 19789 20174 21219 27006 30261 33667 39578 42438 49511 59367 60522 67334 84233 99022 101001 118734 148533 165251 168466 202002 235669 252699 297066 330502 370337 471338 495753 505398 589631 707007 740674 926563 991506 1111011 1156757 1179262 1414014 1768893 1817761 1853126 2222022 2313514 2592359 2779689 3470271 3537786 3635522 5184718 5453283 5559378 6485941 6940542 7777077 10906566 12724327 12971882 15554154 19457823 21647881 25448654 38172981 38915646 43295762 64943643 76345962 129887286 151535167 238126691 303070334 454605501 476253382 714380073 909211002 1428760146 1666886837 3333773674 5000660511 10001321022