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212010120011000 = 2353192587285651
BaseRepresentation
bin110000001101001001110011…
…111001000101110011111000
31000210122222011210021222122002
4300031021303321011303320
5210242033211210323000
62030524034330320132
762441140262110343
oct6015116371056370
91023588153258562
10212010120011000
1161609a94721203
121b940b94289048
13913b612497b4c
143a4d4b768545a
151979d0a6768d5
hexc0d273e45cf8

212010120011000 has 96 divisors (see below), whose sum is σ = 523588650184080. Its totient is φ = 80340676920000.

The previous prime is 212010120010903. The next prime is 212010120011009. The reversal of 212010120011000 is 110021010212.

212010120011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010120011009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293281826 + ... + 294003825.

Almost surely, 2212010120011000 is an apocalyptic number.

212010120011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010120011000 is an abundant number, since it is smaller than the sum of its proper divisors (311578530173080).

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

212010120011000 is a wasteful number, since it uses less digits than its factorization.

212010120011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587285710 (or 587285677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212010120011000 its reverse (110021010212), we get a palindrome (212120141021212).

The spelling of 212010120011000 in words is "two hundred twelve trillion, ten billion, one hundred twenty million, eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 361 380 475 500 722 760 950 1000 1444 1805 1900 2375 2888 3610 3800 4750 7220 9025 9500 14440 18050 19000 36100 45125 72200 90250 180500 361000 587285651 1174571302 2349142604 2936428255 4698285208 5872856510 11158427369 11745713020 14682141275 22316854738 23491426040 29364282550 44633709476 55792136845 58728565100 73410706375 89267418952 111584273690 117457130200 146821412750 212010120011 223168547380 278960684225 293642825500 424020240022 446337094760 557921368450 587285651000 848040480044 1060050600055 1115842736900 1394803421125 1696080960088 2120101200110 2231685473800 2789606842250 4240202400220 5300253000275 5579213684500 8480404800440 10600506000550 11158427369000 21201012001100 26501265001375 42402024002200 53002530002750 106005060005500 212010120011000