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10221121002000 = 243531703520167
BaseRepresentation
bin1001010010111100101001…
…0010010101101000010000
31100012010111111102000020010
42110233022102111220100
52314430323434031000
633423303531314520
72103310623012516
oct224571222255020
940163444360203
1010221121002000
113290831383677
121190b088aba40
13591b031774cc
142749c23404b6
1512ad1c766d50
hex94bca495a10

10221121002000 has 80 divisors (see below), whose sum is σ = 32952894129792. Its totient is φ = 2725632265600.

The previous prime is 10221121001981. The next prime is 10221121002013. The reversal of 10221121002000 is 20012112201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 851754084 + ... + 851766083.

Almost surely, 210221121002000 is an apocalyptic number.

10221121002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221121002000 is an abundant number, since it is smaller than the sum of its proper divisors (22731773127792).

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

10221121002000 is a wasteful number, since it uses less digits than its factorization.

10221121002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703520193 (or 1703520177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10221121002000 its reverse (20012112201), we get a palindrome (10241133114201).

The spelling of 10221121002000 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 1703520167 3407040334 5110560501 6814080668 8517600835 10221121002 13628161336 17035201670 20442242004 25552802505 27256322672 34070403340 40884484008 42588004175 51105605010 68140806680 81768968016 85176008350 102211210020 127764012525 136281613360 170352016700 204422420040 212940020875 255528025050 340704033400 408844840080 425880041750 511056050100 638820062625 681408066800 851760083500 1022112100200 1277640125250 1703520167000 2044224200400 2555280250500 3407040334000 5110560501000 10221121002000