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100201022212002 = 23192125773678211
BaseRepresentation
bin10110110010000111011110…
…010101011100011110100010
3111010210010100112001222000220
4112302013132111130132202
5101113143143141241002
6553035414130223510
730051166511561205
oct2662073625343642
9433703315058026
10100201022212002
1129a22018892388
12b2a3767724b96
1343babba17b49a
141aa5a8098393c
15b8b6d28617bc
hex5b21de55c7a2

100201022212002 has 48 divisors (see below), whose sum is σ = 211521525050592. Its totient is φ = 31639903568640.

The previous prime is 100201022211991. The next prime is 100201022212003. The reversal of 100201022212002 is 200212220102001.

It is a super-3 number, since 3×1002010222120023 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100201022212003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25402677 + ... + 29080887.

It is an arithmetic number, because the mean of its divisors is an integer number (4406698438554).

Almost surely, 2100201022212002 is an apocalyptic number.

100201022212002 is an abundant number, since it is smaller than the sum of its proper divisors (111320502838590).

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

100201022212002 is a wasteful number, since it uses less digits than its factorization.

100201022212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690831 (or 3690812 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100201022212002 its reverse (200212220102001), we get a palindrome (300413242314003).

The spelling of 100201022212002 in words is "one hundred trillion, two hundred one billion, twenty-two million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 19 38 57 114 361 722 1083 2166 12577 25154 37731 75462 238963 477926 716889 1433778 3678211 4540297 7356422 9080594 11034633 13620891 22069266 27241782 69886009 139772018 209658027 419316054 1327834171 2655668342 3983502513 7967005026 46260859747 92521719494 138782579241 277565158482 878956335193 1757912670386 2636869005579 5273738011158 16700170368667 33400340737334 50100511106001 100201022212002