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10220101201212 = 22371513001268493
BaseRepresentation
bin1001010010111000110110…
…0000000110110100111100
31100012000212102110202112120
42110232031200012310330
52314421231401414322
633423014421402540
72103243430602420
oct224561540066474
940160772422476
1010220101201212
113290358766201
121190883269450
1359199cac67a6
14274926b1ab80
1512acace73a5c
hex94b8d806d3c

10220101201212 has 96 divisors (see below), whose sum is σ = 27443334503424. Its totient is φ = 2899713600000.

The previous prime is 10220101201207. The next prime is 10220101201213. The reversal of 10220101201212 is 21210210102201.

It is a junction number, because it is equal to n+sod(n) for n = 10220101201191 and 10220101201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220101201213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37930438 + ... + 38198930.

It is an arithmetic number, because the mean of its divisors is an integer number (285868067744).

Almost surely, 210220101201212 is an apocalyptic number.

10220101201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220101201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721667251712).

10220101201212 is an abundant number, since it is smaller than the sum of its proper divisors (17223233302212).

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

10220101201212 is a wasteful number, since it uses less digits than its factorization.

10220101201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271659 (or 271657 counting only the distinct ones).

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

Adding to 10220101201212 its reverse (21210210102201), we get a palindrome (31430311303413).

It can be divided in two parts, 1022010 and 1201212, that added together give a palindrome (2223222).

The spelling of 10220101201212 in words is "ten trillion, two hundred twenty billion, one hundred one million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1812 2114 3001 3171 4228 6002 6342 9003 12004 12684 18006 21007 36012 42014 63021 84028 126042 252084 268493 453151 536986 805479 906302 1073972 1359453 1610958 1812604 1879451 2718906 3172057 3221916 3758902 5437812 5638353 6344114 7517804 9516171 11276706 12688228 19032342 22553412 38064684 40542443 81084886 121627329 162169772 243254658 283797101 486509316 567594202 805747493 851391303 1135188404 1611494986 1702782606 2417242479 3222989972 3405565212 4834484958 5640232451 9668969916 11280464902 16920697353 22560929804 33841394706 67682789412 121667871443 243335742886 365003614329 486671485772 730007228658 851675100101 1460014457316 1703350200202 2555025300303 3406700400404 5110050600606 10220101201212