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21110122000 = 2453115771663
BaseRepresentation
bin10011101010010000…
…101110011000010000
32000111012102022100101
4103222100232120100
5321213142401000
613410423102144
71345062035122
oct235220563020
960435368311
1021110122000
118a53128120
1241118a1954
131cb5690866
1410438db212
15838450e6a
hex4ea42e610

21110122000 has 160 divisors (see below), whose sum is σ = 55814713344. Its totient is φ = 7658496000.

The previous prime is 21110121983. The next prime is 21110122003. The reversal of 21110122000 is 22101112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21110122003) 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, 12693169 + ... + 12694831.

Almost surely, 221110122000 is an apocalyptic number.

21110122000 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 21110122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907356672).

21110122000 is an abundant number, since it is smaller than the sum of its proper divisors (34704591344).

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

21110122000 is a wasteful number, since it uses less digits than its factorization.

21110122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21110122000 its reverse (22101112), we get a palindrome (21132223112).

The spelling of 21110122000 in words is "twenty-one billion, one hundred ten million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 577 880 1000 1100 1154 1375 1663 2000 2200 2308 2750 2885 3326 4400 4616 5500 5770 6347 6652 8315 9232 11000 11540 12694 13304 14425 16630 18293 22000 23080 25388 26608 28850 31735 33260 36586 41575 46160 50776 57700 63470 66520 72125 73172 83150 91465 101552 115400 126940 133040 144250 146344 158675 166300 182930 207875 230800 253880 288500 292688 317350 332600 365860 415750 457325 507760 577000 634700 665200 731720 793375 831500 914650 959551 1154000 1269400 1463440 1586750 1663000 1829300 1919102 2286625 2538800 3173500 3326000 3658600 3838204 4573250 4797755 6347000 7317200 7676408 9146500 9595510 10555061 12694000 15352816 18293000 19191020 21110122 23988775 36586000 38382040 42220244 47977550 52775305 76764080 84440488 95955100 105550610 119943875 168880976 191910200 211101220 239887750 263876525 383820400 422202440 479775500 527753050 844404880 959551000 1055506100 1319382625 1919102000 2111012200 2638765250 4222024400 5277530500 10555061000 21110122000