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101002220011212 = 223135023128897099
BaseRepresentation
bin10110111101110001101001…
…011100011111111011001100
3111020121201101101002012122020
4112331301221130133323030
5101214310021310324322
6554451440155450140
730163112111524212
oct2675615134377314
9436551341065566
10101002220011212
112a20088a08a383
12b3b2aa7156950
13444861232b690
141ad2768024cb2
15ba2475da705c
hex5bdc6971fecc

101002220011212 has 48 divisors (see below), whose sum is σ = 253850979916800. Its totient is φ = 31071418855488.

The previous prime is 101002220011207. The next prime is 101002220011241. The reversal of 101002220011212 is 212110022200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002220011191 and 101002220011200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63664962 + ... + 65232137.

It is an arithmetic number, because the mean of its divisors is an integer number (5288562081600).

Almost surely, 2101002220011212 is an apocalyptic number.

101002220011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002220011212 is an abundant number, since it is smaller than the sum of its proper divisors (152848759905588).

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

101002220011212 is a wasteful number, since it uses less digits than its factorization.

101002220011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128902142 (or 128902140 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101002220011212 its reverse (212110022200101), we get a palindrome (313112242211313).

The spelling of 101002220011212 in words is "one hundred one trillion, two billion, two hundred twenty million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 5023 10046 15069 20092 30138 60276 65299 130598 195897 261196 391794 783588 128897099 257794198 386691297 515588396 773382594 1546765188 1675662287 3351324574 5026986861 6702649148 10053973722 20107947444 647450128277 1294900256554 1942350384831 2589800513108 3884700769662 7769401539324 8416851667601 16833703335202 25250555002803 33667406670404 50501110005606 101002220011212