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10010101212 = 22323738919319
BaseRepresentation
bin10010101001010011…
…00000010111011100
3221211121202211101100
421110221200113130
5131000041214322
64333143113100
7503026312356
oct112451402734
927747684340
1010010101212
114277494221
121b34442790
13c36b16117
146ad6320d6
153d8c05dac
hex254a605dc

10010101212 has 72 divisors (see below), whose sum is σ = 26055338400. Its totient is φ = 3238005888.

The previous prime is 10010101201. The next prime is 10010101217. The reversal of 10010101212 is 21210101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010101194 and 10010101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010101217) 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, 508489 + ... + 527807.

It is an arithmetic number, because the mean of its divisors is an integer number (361879700).

Almost surely, 210010101212 is an apocalyptic number.

10010101212 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 10010101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13027669200).

10010101212 is an abundant number, since it is smaller than the sum of its proper divisors (16045237188).

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

10010101212 is a wasteful number, since it uses less digits than its factorization.

10010101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19755 (or 19750 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010101212 its reverse (21210101001), we get a palindrome (31220202213).

The spelling of 10010101212 in words is "ten billion, ten million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 389 444 666 778 1167 1332 1556 2334 3501 4668 7002 14004 14393 19319 28786 38638 43179 57572 57957 77276 86358 115914 129537 172716 173871 231828 259074 347742 518148 695484 714803 1429606 2144409 2859212 4288818 6433227 7515091 8577636 12866454 15030182 22545273 25732908 30060364 45090546 67635819 90181092 135271638 270543276 278058367 556116734 834175101 1112233468 1668350202 2502525303 3336700404 5005050606 10010101212