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100022002212 = 223118381111257
BaseRepresentation
bin101110100100111000…
…1101010001000100100
3100120011201001011121110
41131021301222020210
53114321113032322
6113541030345020
710140431663616
oct1351161521044
9316151034543
10100022002212
11394678a3750
12174751bb170
1395802442c2
144babd4adb6
152906133c0c
hex1749c6a224

100022002212 has 96 divisors (see below), whose sum is σ = 258009583104. Its totient is φ = 29904940800.

The previous prime is 100022002187. The next prime is 100022002243. The reversal of 100022002212 is 212200220001.

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

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, 8879688 + ... + 8890944.

It is an arithmetic number, because the mean of its divisors is an integer number (2687599824).

Almost surely, 2100022002212 is an apocalyptic number.

100022002212 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 100022002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129004791552).

100022002212 is an abundant number, since it is smaller than the sum of its proper divisors (157987580892).

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

100022002212 is a wasteful number, since it uses less digits than its factorization.

100022002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12169 (or 12167 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100022002212 its reverse (212200220001), we get a palindrome (312222222213).

The spelling of 100022002212 in words is "one hundred billion, twenty-two million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 811 913 996 1622 1826 2433 2739 3244 3652 4866 5478 8921 9732 10956 11257 17842 22514 26763 33771 35684 45028 53526 67313 67542 107052 123827 134626 135084 201939 247654 269252 371481 403878 495308 740443 742962 807756 934331 1480886 1485924 1868662 2221329 2802993 2961772 3737324 4442658 5605986 8885316 9129427 10277641 11211972 18258854 20555282 27388281 30832923 36517708 41110564 54776562 61665846 100423697 109553124 123331692 200847394 301271091 401694788 602542182 757742441 1205084364 1515484882 2273227323 3030969764 4546454646 8335166851 9092909292 16670333702 25005500553 33340667404 50011001106 100022002212