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211102201212 = 223724737320479
BaseRepresentation
bin1100010010011010101…
…0111111010101111100
3202011220002000221102220
43010212222333111330
511424314130414322
6240551244445340
721152211050400
oct3044652772574
9664802027386
10211102201212
1181589764301
1234ab5849850
1316ba347b1c6
14a308797100
155757ea055c
hex3126abf57c

211102201212 has 144 divisors (see below), whose sum is σ = 586780508160. Its totient is φ = 58870482048.

The previous prime is 211102201207. The next prime is 211102201213. The reversal of 211102201212 is 212102201112.

It is a junction number, because it is equal to n+sod(n) for n = 211102201191 and 211102201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102201213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10297989 + ... + 10318467.

It is an arithmetic number, because the mean of its divisors is an integer number (4074864640).

Almost surely, 2211102201212 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 211102201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293390254080).

211102201212 is an abundant number, since it is smaller than the sum of its proper divisors (375678306948).

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

211102201212 is a wasteful number, since it uses less digits than its factorization.

211102201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20920 (or 20911 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211102201212 its reverse (212102201112), we get a palindrome (423204402324).

The spelling of 211102201212 in words is "two hundred eleven billion, one hundred two million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 373 564 588 658 746 987 1119 1316 1492 1974 2238 2303 2611 3948 4476 4606 5222 6909 7833 9212 10444 13818 15666 17531 18277 20479 27636 31332 35062 36554 40958 52593 54831 61437 70124 73108 81916 105186 109662 122717 122874 143353 210372 219324 245434 245748 286706 368151 430059 490868 573412 736302 859019 860118 962513 1003471 1472604 1718038 1720236 1925026 2006942 2577057 2887539 3010413 3436076 3850052 4013884 5154114 5775078 6020826 6737591 7638667 10308228 11550156 12041652 13475182 15277334 20212773 22916001 26950364 30554668 40425546 45832002 47163137 53470669 80851092 91664004 94326274 106941338 141489411 160412007 188652548 213882676 282978822 320824014 359017349 374294683 565957644 641648028 718034698 748589366 1077052047 1122884049 1436069396 1497178732 2154104094 2245768098 2513121443 4308208188 4491536196 5026242886 7539364329 10052485772 15078728658 17591850101 30157457316 35183700202 52775550303 70367400404 105551100606 211102201212