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21121202000112 = 24310716092555863
BaseRepresentation
bin1001100110101101010011…
…01111100001000011110000
32202210011111212211110210220
410303112221233201003300
510232022210203000422
6112530540220053040
74306646034541554
oct463265157410360
982704455743726
1021121202000112
1168034a699a575
12245151b994180
13ba294a7ab5b6
145303b34db864
15269626d85e5c
hex1335a9be10f0

21121202000112 has 80 divisors (see below), whose sum is σ = 55107290407680. Its totient is φ = 6970265058816.

The previous prime is 21121202000039. The next prime is 21121202000123. The reversal of 21121202000112 is 21100020212112.

It is a super-2 number, since 2×211212020001122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121202000091 and 21121202000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6985893 + ... + 9541755.

It is an arithmetic number, because the mean of its divisors is an integer number (688841130096).

Almost surely, 221121202000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121202000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27553645203840).

21121202000112 is an abundant number, since it is smaller than the sum of its proper divisors (33986088407568).

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

21121202000112 is a wasteful number, since it uses less digits than its factorization.

21121202000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557590 (or 2557584 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21121202000112 its reverse (21100020212112), we get a palindrome (42221222212224).

The spelling of 21121202000112 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1609 1712 2568 3218 4827 5136 6436 9654 12872 19308 25744 38616 77232 172163 344326 516489 688652 1032978 1377304 2065956 2555863 2754608 4131912 5111726 7667589 8263824 10223452 15335178 20446904 30670356 40893808 61340712 122681424 273477341 546954682 820432023 1093909364 1640864046 2187818728 3281728092 4112383567 4375637456 6563456184 8224767134 12337150701 13126912368 16449534268 24674301402 32899068536 49348602804 65798137072 98697205608 197394411216 440025041669 880050083338 1320075125007 1760100166676 2640150250014 3520200333352 5280300500028 7040400666704 10560601000056 21121202000112