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101102210012 = 221931140110667
BaseRepresentation
bin101111000101000101…
…0010100101111011100
3100122221222122102010202
41132022022110233130
53124024131210022
6114240135123032
710206256414526
oct1361212245734
9318858572122
10101102210012
113997161a871
1217716b13478
1396c2c8530b
144c715b6a16
15296adaa592
hex178a294bdc

101102210012 has 48 divisors (see below), whose sum is σ = 187323252480. Its totient is φ = 47613024000.

The previous prime is 101102209979. The next prime is 101102210029. The reversal of 101102210012 is 210012201101.

It is a super-3 number, since 3×1011022100123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101102209975 and 101102210002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9472703 + ... + 9483369.

It is an arithmetic number, because the mean of its divisors is an integer number (3902567760).

Almost surely, 2101102210012 is an apocalyptic number.

It is an amenable number.

101102210012 is a deficient number, since it is larger than the sum of its proper divisors (86221042468).

101102210012 is a wasteful number, since it uses less digits than its factorization.

101102210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402 (or 11400 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101102210012 its reverse (210012201101), we get a palindrome (311114411113).

The spelling of 101102210012 in words is "one hundred one billion, one hundred two million, two hundred ten thousand, twelve".

Divisors: 1 2 4 19 38 76 311 401 622 802 1244 1604 5909 7619 10667 11818 15238 21334 23636 30476 42668 124711 202673 249422 405346 498844 810692 2369509 3317437 4277467 4739018 6634874 8554934 9478036 13269748 17109868 63031303 81271873 126062606 162543746 252125212 325087492 1330292237 2660584474 5321168948 25275552503 50551105006 101102210012