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10211212000 = 255311232073
BaseRepresentation
bin10011000001010001…
…01011101011100000
3222100122012022112001
421200220223223200
5131403032241000
64405125413344
7511020604243
oct114050535340
928318168461
1010211212000
11436aa65790
121b8b86a254
13c6969bba2
146cc22325a
153eb6ce46a
hex260a2bae0

10211212000 has 96 divisors (see below), whose sum is σ = 27369879264. Its totient is φ = 3713152000.

The previous prime is 10211211961. The next prime is 10211212001. The reversal of 10211212000 is 21211201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72037 + ... + 160036.

It is an arithmetic number, because the mean of its divisors is an integer number (285102909).

Almost surely, 210211212000 is an apocalyptic number.

10211212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211212000 is an abundant number, since it is smaller than the sum of its proper divisors (17158667264).

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

10211212000 is a wasteful number, since it uses less digits than its factorization.

10211212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232109 (or 232091 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10211212000 its reverse (21211201), we get a palindrome (10232423201).

The spelling of 10211212000 in words is "ten billion, two hundred eleven million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 232073 464146 928292 1160365 1856584 2320730 2552803 3713168 4641460 5105606 5801825 7426336 9282920 10211212 11603650 12764015 18565840 20422424 23207300 25528030 29009125 37131680 40844848 46414600 51056060 58018250 63820075 81689696 92829200 102112120 116036500 127640150 185658400 204224240 232073000 255280300 319100375 408448480 464146000 510560600 638200750 928292000 1021121200 1276401500 2042242400 2552803000 5105606000 10211212000