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211102021002210 = 235132274253560669
BaseRepresentation
bin101111111111111100000100…
…111110010010001111100010
31000200110011012210210121222020
4233333330010332102033202
5210132143414334032320
62024550532445122310
762315421605643312
oct5777740476221742
91020404183717866
10211102021002210
116129995648a218
121b814b9b859396
1390a3ab1b11360
143a1b56c7c1442
1519613ac0e3940
hexbfff04f923e2

211102021002210 has 128 divisors (see below), whose sum is σ = 548150965528320. Its totient is φ = 51722403449856.

The previous prime is 211102021002179. The next prime is 211102021002329. The reversal of 211102021002210 is 12200120201112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211102021002210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 376237756 + ... + 376798424.

It is an arithmetic number, because the mean of its divisors is an integer number (4282429418190).

Almost surely, 2211102021002210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211102021002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274075482764160).

211102021002210 is an abundant number, since it is smaller than the sum of its proper divisors (337048944526110).

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

211102021002210 is a wasteful number, since it uses less digits than its factorization.

211102021002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565172.

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

Adding to 211102021002210 its reverse (12200120201112), we get a palindrome (223302141203322).

The spelling of 211102021002210 in words is "two hundred eleven trillion, one hundred two billion, twenty-one million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 227 390 454 681 1135 1362 2270 2951 3405 4253 5902 6810 8506 8853 12759 14755 17706 21265 25518 29510 42530 44265 55289 63795 88530 110578 127590 165867 276445 331734 552890 560669 829335 965431 1121338 1658670 1682007 1930862 2803345 2896293 3364014 4827155 5606690 5792586 7288697 8410035 9654310 12550603 14481465 14577394 16820070 21866091 25101206 28962930 36443485 37651809 43732182 62753015 72886970 75303618 109330455 125506030 127271863 188259045 218660910 254543726 376518090 381815589 636359315 763631178 1272718630 1654534219 1909077945 2384525257 3309068438 3818155890 4769050514 4963602657 7153575771 8272671095 9927205314 11922626285 14307151542 16545342190 23845252570 24818013285 30998828341 35767878855 49636026570 61997656682 71535757710 92996485023 154994141705 185992970046 309988283410 464982425115 541287233339 929964850230 1082574466678 1623861700017 2706436166695 3247723400034 5412872333390 7036734033407 8119308500085 14073468066814 16238617000170 21110202100221 35183670167035 42220404200442 70367340334070 105551010501105 211102021002210