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21022000212220 = 22574711159286301
BaseRepresentation
bin1001100011110100100001…
…10110101110100011111100
32202102200110100011111201121
410301322100312232203330
510223411024023242340
6112413212405320324
74266534522342220
oct461722066564374
982380410144647
1021022000212220
116775420093aa7
1224362554060a4
13b9649b477017
1452968249c780
15266c6cc6d94a
hex131e90dae8fc

21022000212220 has 96 divisors (see below), whose sum is σ = 51531061800960. Its totient is φ = 7053534163200.

The previous prime is 21022000212203. The next prime is 21022000212259. The reversal of 21022000212220 is 2221200022012.

It is a junction number, because it is equal to n+sod(n) for n = 21022000212194 and 21022000212203.

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, 73283070 + ... + 73569370.

It is an arithmetic number, because the mean of its divisors is an integer number (536781893760).

Almost surely, 221022000212220 is an apocalyptic number.

21022000212220 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 21022000212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25765530900480).

21022000212220 is an abundant number, since it is smaller than the sum of its proper divisors (30509061588740).

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

21022000212220 is a wasteful number, since it uses less digits than its factorization.

21022000212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297523 (or 297521 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21022000212220 its reverse (2221200022012), we get a palindrome (23243200234232).

The spelling of 21022000212220 in words is "twenty-one trillion, twenty-two billion, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 11159 22318 44636 55795 78113 111590 156226 223180 286301 312452 390565 524473 572602 781130 1048946 1145204 1431505 1562260 2004107 2097892 2622365 2863010 3671311 4008214 5244730 5726020 7342622 8016428 10020535 10489460 13456147 14685244 18356555 20041070 26912294 36713110 40082140 53824588 67280735 73426220 94193029 134561470 188386058 269122940 376772116 470965145 941930290 1883860580 3194832859 6389665718 12779331436 15974164295 22363830013 31948328590 44727660026 63896657180 89455320052 111819150065 150157144373 223638300130 300314288746 447276600260 600628577492 750785721865 1051100010611 1501571443730 2102200021222 3003142887460 4204400042444 5255500053055 10511000106110 21022000212220