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21002021120 = 285109714957
BaseRepresentation
bin10011100011110100…
…010110100100000000
32000012200000012211002
4103203310112210000
5321003004133440
613352002111132
71342310143163
oct234364264400
960180005732
1021002021120
1189a8103353
1240a164b4a8
131c99171a42
1410333dbada
1582dbeb115
hex4e3d16900

21002021120 has 72 divisors (see below), whose sum is σ = 50355628344. Its totient is φ = 8392589312.

The previous prime is 21002021113. The next prime is 21002021123. The reversal of 21002021120 is 2112020012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 136796416 + 20865224704 = 11696^2 + 144448^2 .

It is a super-2 number, since 2×210020211202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21002021123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1396682 + ... + 1411638.

It is an arithmetic number, because the mean of its divisors is an integer number (699383727).

Almost surely, 221002021120 is an apocalyptic number.

21002021120 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 21002021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25177814172).

21002021120 is an abundant number, since it is smaller than the sum of its proper divisors (29353607224).

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

21002021120 is a wasteful number, since it uses less digits than its factorization.

21002021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16075 (or 16061 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21002021120 its reverse (2112020012), we get a palindrome (23114041132).

The spelling of 21002021120 in words is "twenty-one billion, two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1097 1280 2194 4388 5485 8776 10970 14957 17552 21940 29914 35104 43880 59828 70208 74785 87760 119656 140416 149570 175520 239312 280832 299140 351040 478624 598280 702080 957248 1196560 1404160 1914496 2393120 3828992 4786240 9572480 16407829 19144960 32815658 65631316 82039145 131262632 164078290 262525264 328156580 525050528 656313160 1050101056 1312626320 2100202112 2625252640 4200404224 5250505280 10501010560 21002021120