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21211211000 = 2353719915227
BaseRepresentation
bin10011110000010010…
…010110010011111000
32000202020122011101102
4103300102112103320
5321420032223000
613424433510532
71350430214210
oct236022262370
960666564342
1021211211000
118aa51a2851
12413b712448
1320005c5c35
1410530d3240
1584226d3d5
hex4f04964f8

21211211000 has 128 divisors (see below), whose sum is σ = 57013632000. Its totient is φ = 7235395200.

The previous prime is 21211210973. The next prime is 21211211017. The reversal of 21211211000 is 11211212.

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, 1385387 + ... + 1400613.

It is an arithmetic number, because the mean of its divisors is an integer number (445419000).

Almost surely, 221211211000 is an apocalyptic number.

21211211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28506816000).

21211211000 is an abundant number, since it is smaller than the sum of its proper divisors (35802421000).

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

21211211000 is a wasteful number, since it uses less digits than its factorization.

21211211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15454 (or 15440 counting only the distinct ones).

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

Adding to 21211211000 its reverse (11211212), we get a palindrome (21222422212).

It can be divided in two parts, 2121 and 1211000, that added together give a palindrome (1213121).

The spelling of 21211211000 in words is "twenty-one billion, two hundred eleven million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 199 200 250 280 350 398 500 700 796 875 995 1000 1393 1400 1592 1750 1990 2786 3500 3980 4975 5572 6965 7000 7960 9950 11144 13930 15227 19900 24875 27860 30454 34825 39800 49750 55720 60908 69650 76135 99500 106589 121816 139300 152270 174125 199000 213178 278600 304540 348250 380675 426356 532945 609080 696500 761350 852712 1065890 1393000 1522700 1903375 2131780 2664725 3030173 3045400 3806750 4263560 5329450 6060346 7613500 10658900 12120692 13323625 15150865 15227000 21211211 21317800 24241384 26647250 30301730 42422422 53294500 60603460 75754325 84844844 106056055 106589000 121206920 151508650 169689688 212112110 303017300 378771625 424224220 530280275 606034600 757543250 848448440 1060560550 1515086500 2121121100 2651401375 3030173000 4242242200 5302802750 10605605500 21211211000