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10102010212 = 2271934954409
BaseRepresentation
bin10010110100010000…
…00111000101100100
3222002000201021211101
421122020013011210
5131142103311322
64350225045444
7505223445550
oct113210070544
928060637741
1010102010212
114314359878
121b5b186884
13c4cb85c48
146bb918860
153e1d0d327
hex25a207164

10102010212 has 48 divisors (see below), whose sum is σ = 21328720000. Its totient is φ = 4089740544.

The previous prime is 10102010201. The next prime is 10102010239. The reversal of 10102010212 is 21201020101.

It is a super-2 number, since 2×101020102122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158464 + ... + 212872.

Almost surely, 210102010212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10664360000).

10102010212 is an abundant number, since it is smaller than the sum of its proper divisors (11226709788).

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

10102010212 is a wasteful number, since it uses less digits than its factorization.

10102010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54788 (or 54786 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102010212 its reverse (21201020101), we get a palindrome (31303030313).

The spelling of 10102010212 in words is "ten billion, one hundred two million, ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 349 532 698 1396 2443 4886 6631 9772 13262 26524 46417 54409 92834 108818 185668 217636 380863 761726 1033771 1523452 2067542 4135084 7236397 14472794 18988741 28945588 37977482 75954964 132921187 265842374 360786079 531684748 721572158 1443144316 2525502553 5051005106 10102010212