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100000022122 = 27411131071361
BaseRepresentation
bin101110100100001110…
…1110011111001101010
3100120010011200110121001
41131020131303321222
53114300001201442
6113534523305214
710140044110000
oct1351035637152
9316104613531
10100000022122
1139456450790
121746997b20a
139578819830
144ba9068a70
1529042412b7
hex1748773e6a

100000022122 has 160 divisors (see below), whose sum is σ = 207656011584. Its totient is φ = 35601753600.

The previous prime is 100000022119. The next prime is 100000022149. The reversal of 100000022122 is 221220000001.

It is a junction number, because it is equal to n+sod(n) for n = 100000022099 and 100000022108.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73474722 + ... + 73476082.

Almost surely, 2100000022122 is an apocalyptic number.

100000022122 is an abundant number, since it is smaller than the sum of its proper divisors (107655989462).

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

100000022122 is a wasteful number, since it uses less digits than its factorization.

100000022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100000022122 its reverse (221220000001), we get a palindrome (321220022123).

The spelling of 100000022122 in words is "one hundred billion, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 107 143 154 182 214 286 343 539 637 686 749 1001 1078 1177 1274 1361 1391 1498 2002 2354 2401 2722 2782 3773 4459 4802 5243 7007 7546 8239 8918 9527 9737 10486 14014 14971 15301 16478 17693 19054 19474 26411 29942 30602 31213 35386 36701 49049 52822 57673 62426 66689 68159 73402 98098 104797 107107 115346 123851 133378 136318 145627 194623 209594 214214 247702 256907 291254 343343 389246 403711 466823 477113 513814 686686 733579 749749 807422 866957 933646 954226 1019389 1362361 1467158 1499498 1601897 1733914 1893151 2038778 2724722 2825977 3203794 3267761 3339791 3786302 5135053 5248243 5651954 6068699 6535522 6679582 7135723 9536527 10270106 10496486 11213279 12137398 13252057 14271446 19073054 20824661 22426558 26504114 35945371 36737701 41649322 42480893 49950061 66755689 71890742 73475402 78492953 84961786 92764399 99900122 133511378 145772627 156985906 185528798 291545254 349650427 467289823 549450671 649350793 699300854 934579646 1020408389 1098901342 1298701586 2040816778 3846154697 4545455551 7142858723 7692309394 9090911102 14285717446 50000011061 100000022122