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211120020201012 = 2231324130231857589
BaseRepresentation
bin110000000000001100110101…
…110011110001111000110100
31000200111212200012110122221220
4300000030311303301320310
5210132442300132413022
62025003110502310340
762316626624420466
oct6000146563617064
91020455605418856
10211120020201012
11612a655257472a
121b8185837283b0
1390a56bcb21050
143a1c399080136
151961ab238e85c
hexc00335cf1e34

211120020201012 has 96 divisors (see below), whose sum is σ = 532884495306240. Its totient is φ = 64669028382720.

The previous prime is 211120020200989. The next prime is 211120020201089. The reversal of 211120020201012 is 210102020021112.

It is a junction number, because it is equal to n+sod(n) for n = 211120020200982 and 211120020201000.

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, 112723914 + ... + 114581502.

It is an arithmetic number, because the mean of its divisors is an integer number (5550880159440).

Almost surely, 2211120020201012 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 211120020201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266442247653120).

211120020201012 is an abundant number, since it is smaller than the sum of its proper divisors (321764475105228).

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

211120020201012 is a wasteful number, since it uses less digits than its factorization.

211120020201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860873 (or 1860871 counting only the distinct ones).

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

Adding to 211120020201012 its reverse (210102020021112), we get a palindrome (421222040222124).

The spelling of 211120020201012 in words is "two hundred eleven trillion, one hundred twenty billion, twenty million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 241 482 723 964 1446 2892 3023 3133 6046 6266 9069 9399 12092 12532 18138 18798 36276 37596 39299 78598 117897 157196 235794 471588 728543 1457086 1857589 2185629 2914172 3715178 4371258 5572767 7430356 8742516 9471059 11145534 18942118 22291068 24148657 28413177 37884236 48297314 56826354 72445971 96594628 113652708 144891942 289783884 447678949 895357898 1343036847 1790715796 2686073694 5372147388 5615491547 5819826337 11230983094 11639652674 16846474641 17459479011 22461966188 23279305348 33692949282 34918958022 67385898564 69837916044 73001390111 146002780222 219004170333 292005560444 438008340666 876016681332 1353333462827 2706666925654 4060000388481 5413333851308 8120000776962 16240001553924 17593335016751 35186670033502 52780005050253 70373340067004 105560010100506 211120020201012