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21355421137000 = 2353128916567433
BaseRepresentation
bin1001101101100001100100…
…10010100111100001101000
32210121120002000110102102121
410312300302102213201220
510244341400302341000
6113230313421041024
74332610146421216
oct466606222474150
983546060412377
1021355421137000
116893868551795
12248a9a73b6174
13bbba6630bb62
1453b872101cb6
15270784543b1a
hex136c324a7868

21355421137000 has 64 divisors (see below), whose sum is σ = 50010456272400. Its totient is φ = 8535540966400.

The previous prime is 21355421136997. The next prime is 21355421137003. The reversal of 21355421137000 is 73112455312.

It is an interprime number because it is at equal distance from previous prime (21355421136997) and next prime (21355421137003).

It can be written as a sum of positive squares in 8 ways, for example, as 2724302098116 + 18631119038884 = 1650546^2 + 4316378^2 .

It is a super-3 number, since 3×213554211370003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21355421137003) 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, 6994717 + ... + 9572716.

Almost surely, 221355421137000 is an apocalyptic number.

21355421137000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21355421137000 is an abundant number, since it is smaller than the sum of its proper divisors (28655035135400).

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

21355421137000 is a wasteful number, since it uses less digits than its factorization.

21355421137000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16568743 (or 16568729 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 21355421137000 in words is "twenty-one trillion, three hundred fifty-five billion, four hundred twenty-one million, one hundred thirty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1289 2578 5156 6445 10312 12890 25780 32225 51560 64450 128900 161125 257800 322250 644500 1289000 16567433 33134866 66269732 82837165 132539464 165674330 331348660 414185825 662697320 828371650 1656743300 2070929125 3313486600 4141858250 8283716500 16567433000 21355421137 42710842274 85421684548 106777105685 170843369096 213554211370 427108422740 533885528425 854216845480 1067771056850 2135542113700 2669427642125 4271084227400 5338855284250 10677710568500 21355421137000