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101200021212 = 22383359328279
BaseRepresentation
bin101111000111111111…
…1011100011011011100
3100200012210200201212210
41132033333130123130
53124224201134322
6114253551400420
710211554662423
oct1361777343334
9320183621783
10101200021212
1139a11856874
1217743823110
13970a310774
144c805982ba
15297477b70c
hex178ffdc6dc

101200021212 has 48 divisors (see below), whose sum is σ = 239053328640. Its totient is φ = 33316460928.

The previous prime is 101200021211. The next prime is 101200021277. The reversal of 101200021212 is 212120002101.

It is a super-3 number, since 3×1012000212123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200021211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3564489 + ... + 3592767.

It is an arithmetic number, because the mean of its divisors is an integer number (4980277680).

Almost surely, 2101200021212 is an apocalyptic number.

101200021212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101200021212 is an abundant number, since it is smaller than the sum of its proper divisors (137853307428).

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

101200021212 is a wasteful number, since it uses less digits than its factorization.

101200021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31962 (or 31960 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101200021212 its reverse (212120002101), we get a palindrome (313320023313).

The spelling of 101200021212 in words is "one hundred one billion, two hundred million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 996 3593 7186 10779 14372 21558 28279 43116 56558 84837 113116 169674 298219 339348 596438 894657 1192876 1789314 2347157 3578628 4694314 7041471 9388628 14082942 28165884 101606447 203212894 304819341 406425788 609638682 1219277364 8433335101 16866670202 25300005303 33733340404 50600010606 101200021212