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211010020012120 = 235717109049406513
BaseRepresentation
bin101111111110100110011001…
…010010010111000001011000
31000200010100202002201002110211
4233332212121102113001120
5210124142010110341440
62024440355344420504
762305654001302360
oct5776463122270130
91020110662632424
10211010020012120
116126393530570a
121b7bb1a4917734
13909820c589194
143a16d21c4b9a0
15195dcc525aeea
hexbfe999497058

211010020012120 has 128 divisors (see below), whose sum is σ = 574521358032000. Its totient is φ = 68089836404736.

The previous prime is 211010020012109. The next prime is 211010020012139. The reversal of 211010020012120 is 21210020010112.

It is a super-3 number, since 3×2110100200121203 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211010020012120.

It is a congruent number.

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, 518869984 + ... + 519276496.

It is an arithmetic number, because the mean of its divisors is an integer number (4488448109625).

Almost surely, 2211010020012120 is an apocalyptic number.

211010020012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010020012120 is an abundant number, since it is smaller than the sum of its proper divisors (363511338019880).

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

211010020012120 is a wasteful number, since it uses less digits than its factorization.

211010020012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515597 (or 515593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211010020012120 its reverse (21210020010112), we get a palindrome (232220040022232).

The spelling of 211010020012120 in words is "two hundred eleven trillion, ten billion, twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 109049 218098 406513 436196 545245 763343 813026 872392 1090490 1526686 1626052 1853833 2032565 2180980 2845591 3053372 3252104 3707666 3816715 4065130 4361960 5691182 6106744 6910721 7415332 7633430 8130260 9269165 11382364 12976831 13821442 14227955 14830664 15266860 16260520 18538330 22764728 25953662 27642884 28455910 30533720 34553605 37076660 48375047 51907324 55285768 56911820 64884155 69107210 74153320 96750094 103814648 113823640 129768310 138214420 193500188 241875235 259536620 276428840 387000376 483750470 519073240 967500940 1935001880 44329836137 88659672274 177319344548 221649180685 310308852959 354638689096 443298361370 620617705918 753607214329 886596722740 1241235411836 1507214428658 1551544264795 1773193445480 2482470823672 3014428857316 3103088529590 3768036071645 5275250500303 6028857714632 6206177059180 7536072143290 10550501000606 12412354118360 15072144286580 21101002001212 26376252501515 30144288573160 42202004002424 52752505003030 105505010006060 211010020012120