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100020300020212 = 221113348715014501
BaseRepresentation
bin10110101111011111001010…
…011100111111100111110100
3111010010211212200101101220011
4112233133022130333213310
5101102213033301121322
6552420405210350004
730032141163361525
oct2657371234774764
9433124780341804
10100020300020212
1129962409923890
12b27473012b304
1343a6b48a27920
141a9b018cb484c
15b86b56a50677
hex5af7ca73f9f4

100020300020212 has 48 divisors (see below), whose sum is σ = 205642079362944. Its totient is φ = 41965347600000.

The previous prime is 100020300020183. The next prime is 100020300020231. The reversal of 100020300020212 is 212020003020001.

It is a super-2 number, since 2×1000203000202122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100020300020192 and 100020300020201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17438962 + ... + 22453462.

It is an arithmetic number, because the mean of its divisors is an integer number (4284209986728).

Almost surely, 2100020300020212 is an apocalyptic number.

It is an amenable number.

100020300020212 is an abundant number, since it is smaller than the sum of its proper divisors (105621779342732).

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

100020300020212 is a wasteful number, since it uses less digits than its factorization.

100020300020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049400 (or 5049398 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100020300020212 its reverse (212020003020001), we get a palindrome (312040303040213).

The spelling of 100020300020212 in words is "one hundred trillion, twenty billion, three hundred million, twenty thousand, two hundred twelve".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 34871 69742 139484 383581 453323 767162 906646 1534324 1813292 4986553 5014501 9973106 10029002 19946212 20058004 55159511 65188513 110319022 130377026 220638044 260754052 717073643 1434147286 2868294572 174860664371 349721328742 699442657484 1923467308081 2273188636823 3846934616162 4546377273646 7693869232324 9092754547292 25005075005053 50010150010106 100020300020212