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21121022111020 = 22513891316967553
BaseRepresentation
bin1001100110101100111110…
…00001010010110100101100
32202210011001100100011100221
410303112133001102310230
510232021323130023040
6112530510312301124
74306641421524556
oct463263701226454
982704040304327
1021121022111020
1168034143a31a7
12245148b6a17a4
13ba291c446050
145303976724d6
152696161a074a
hex13359f052d2c

21121022111020 has 96 divisors (see below), whose sum is σ = 48671430413760. Its totient is φ = 7652044308480.

The previous prime is 21121022111009. The next prime is 21121022111029. The reversal of 21121022111020 is 2011122012112.

It is a junction number, because it is equal to n+sod(n) for n = 21121022110985 and 21121022111003.

It is not an unprimeable number, because it can be changed into a prime (21121022111029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452437 + ... + 6515116.

It is an arithmetic number, because the mean of its divisors is an integer number (506994066810).

Almost surely, 221121022111020 is an apocalyptic number.

21121022111020 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 21121022111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24335715206880).

21121022111020 is an abundant number, since it is smaller than the sum of its proper divisors (27550408302740).

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

21121022111020 is a wasteful number, since it uses less digits than its factorization.

21121022111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6967795 (or 6967793 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21121022111020 its reverse (2011122012112), we get a palindrome (23132144123132).

The spelling of 21121022111020 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 131 178 260 262 356 445 524 655 890 1157 1310 1703 1780 2314 2620 3406 4628 5785 6812 8515 11570 11659 17030 23140 23318 34060 46636 58295 116590 151567 233180 303134 606268 757835 1515670 3031340 6967553 13935106 27870212 34837765 69675530 90578189 139351060 181156378 362312756 452890945 620112217 905781890 912749443 1240224434 1811563780 1825498886 2480448868 3100561085 3650997772 4563747215 6201122170 8061458821 9127494430 11865742759 12402244340 16122917642 18254988860 23731485518 32245835284 40307294105 47462971036 59328713795 80614588210 81234700427 118657427590 161229176420 162469400854 237314855180 324938801708 406173502135 812347004270 1056051105551 1624694008540 2112102211102 4224204422204 5280255527755 10560511055510 21121022111020