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10220101212012 = 22317372203614623
BaseRepresentation
bin1001010010111000110110…
…0000001001011101101100
31100012000212102111022100120
42110232031200021131230
52314421231402241022
633423014421524540
72103243430646046
oct224561540113554
940160772438316
1010220101212012
11329035877332a
121190883273750
1359199cacb693
14274926b20a96
1512acace76d5c
hex94b8d80976c

10220101212012 has 96 divisors (see below), whose sum is σ = 25943898580992. Its totient is φ = 3118228171776.

The previous prime is 10220101211981. The next prime is 10220101212037. The reversal of 10220101212012 is 21021210102201.

It is a junction number, because it is equal to n+sod(n) for n = 10220101211982 and 10220101212000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16320933 + ... + 16935555.

It is an arithmetic number, because the mean of its divisors is an integer number (270248943552).

Almost surely, 210220101212012 is an apocalyptic number.

10220101212012 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 10220101212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971949290496).

10220101212012 is an abundant number, since it is smaller than the sum of its proper divisors (15723797368980).

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

10220101212012 is a wasteful number, since it uses less digits than its factorization.

10220101212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616887 (or 616885 counting only the distinct ones).

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

Adding to 10220101212012 its reverse (21021210102201), we get a palindrome (31241311314213).

The spelling of 10220101212012 in words is "ten trillion, two hundred twenty billion, one hundred one million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2203 2516 3774 4406 6609 7548 8812 13218 26436 37451 74902 81511 112353 149804 163022 224706 244533 326044 449412 489066 614623 978132 1229246 1385687 1843869 2458492 2771374 3687738 4157061 5542748 7375476 8314122 10448591 16628244 20897182 22741051 31345773 41794364 45482102 62691546 68223153 90964204 125383092 136446306 272892612 386597867 773195734 1159793601 1354014469 1546391468 2319587202 2708028938 4062043407 4639174404 5416057876 8124086814 16248173628 23018245973 46036491946 50098535353 69054737919 92072983892 100197070706 138109475838 150295606059 200394141412 276218951676 300591212118 601182424236 851675101001 1703350202002 2555025303003 3406700404004 5110050606006 10220101212012