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212101233102 = 23411487244403
BaseRepresentation
bin1100010110001000110…
…1111111100111001110
3202021110200220000120000
43011202031333213032
511433340403424402
6241234333305130
721216031506663
oct3054215774716
9667420800500
10212101233102
1181a516867a0
12351343351a6
1317002439835
14a3a1331a6a
1557b5a3ec1c
hex316237f9ce

212101233102 has 80 divisors (see below), whose sum is σ = 519536426112. Its totient is φ = 64140860880.

The previous prime is 212101233059. The next prime is 212101233103. The reversal of 212101233102 is 201332101212.

212101233102 is a `hidden beast` number, since 21 + 210 + 123 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101233103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 745633 + ... + 990035.

Almost surely, 2212101233102 is an apocalyptic number.

212101233102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101233102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259768213056).

212101233102 is an abundant number, since it is smaller than the sum of its proper divisors (307435193010).

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

212101233102 is a wasteful number, since it uses less digits than its factorization.

212101233102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244915 (or 244906 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212101233102 its reverse (201332101212), we get a palindrome (413433334314).

The spelling of 212101233102 in words is "two hundred twelve billion, one hundred one million, two hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 487 594 891 974 1461 1782 2922 4383 5357 8766 10714 13149 16071 26298 32142 39447 48213 78894 96426 144639 244403 289278 433917 488806 733209 867834 1466418 2199627 2688433 4399254 5376866 6598881 8065299 13197762 16130598 19796643 24195897 39593286 48391794 72587691 119024261 145175382 217763073 238048522 357072783 435526146 714145566 1071218349 1309266871 2142436698 2618533742 3213655047 3927800613 6427310094 7855601226 9640965141 11783401839 19281930282 23566803678 35350205517 70700411034 106050616551 212101233102