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211210202001012 = 223295707310634203
BaseRepresentation
bin110000000001100000110101…
…000100000010111001110100
31000200211111110010102202210120
4300001200311010002321310
5210140431443203013022
62025112343255251540
762326301462160264
oct6001406504027164
91020744403382716
10211210202001012
116133081a877855
121b831b51379bb0
1390b10624c7596
143a228b21837a4
1519640de67cd5c
hexc01835102e74

211210202001012 has 48 divisors (see below), whose sum is σ = 509826709640640. Its totient is φ = 67974499772928.

The previous prime is 211210202001011. The next prime is 211210202001017. The reversal of 211210202001012 is 210100202012112.

It is a super-3 number, since 3×2112102020010123 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211210202000982 and 211210202001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210202001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14544303 + ... + 25178505.

It is an arithmetic number, because the mean of its divisors is an integer number (10621389784180).

Almost surely, 2211210202001012 is an apocalyptic number.

It is an amenable number.

211210202001012 is an abundant number, since it is smaller than the sum of its proper divisors (298616507639628).

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

211210202001012 is a wasteful number, since it uses less digits than its factorization.

211210202001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691312 (or 10691310 counting only the distinct ones).

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

Adding to 211210202001012 its reverse (210100202012112), we get a palindrome (421310404013124).

The spelling of 211210202001012 in words is "two hundred eleven trillion, two hundred ten billion, two hundred two million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 57073 114146 171219 228292 342438 684876 1655117 3310234 4965351 6620468 9930702 10634203 19861404 21268406 31902609 42536812 63805218 127610436 308391887 616783774 925175661 1233567548 1850351322 3700702644 606925867819 1213851735638 1820777603457 2427703471276 3641555206914 7283110413828 17600850166751 35201700333502 52802550500253 70403400667004 105605101000506 211210202001012