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21001200022000 = 2453111875750893
BaseRepresentation
bin1001100011001101110010…
…00100010011000111110000
32202100200202201221100212001
410301212321010103013300
510223040424201201000
6112355452413143344
74265200212550222
oct461467104230760
982320681840761
1021001200022000
116767616a04250
12243220b48ab54
13b94535080a63
1452866bbdc412
15266451b3e46a
hex1319b91131f0

21001200022000 has 160 divisors (see below), whose sum is σ = 55401389244864. Its totient is φ = 7636242816000.

The previous prime is 21001200021979. The next prime is 21001200022057. The reversal of 21001200022000 is 22000210012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412628554 + ... + 412679446.

Almost surely, 221001200022000 is an apocalyptic number.

21001200022000 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 21001200022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27700694622432).

21001200022000 is an abundant number, since it is smaller than the sum of its proper divisors (34400189222864).

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

21001200022000 is a wasteful number, since it uses less digits than its factorization.

21001200022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69684 (or 69668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21001200022000 its reverse (22000210012), we get a palindrome (21023200232012).

The spelling of 21001200022000 in words is "twenty-one trillion, one billion, two hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 18757 22000 37514 50893 75028 93785 101786 150056 187570 203572 206327 254465 300112 375140 407144 412654 468925 508930 559823 750280 814288 825308 937850 1017860 1031635 1119646 1272325 1500560 1650616 1875700 2035720 2063270 2239292 2344625 2544650 2799115 3301232 3751400 4071440 4126540 4478584 4689250 5089300 5158175 5598230 6361625 7502800 8253080 8957168 9378500 10178600 10316350 11196460 12723250 13995575 16506160 18757000 20357200 20632700 22392920 25446500 25790875 27991150 37514000 41265400 44785840 50893000 51581750 55982300 69977875 82530800 101786000 103163500 111964600 139955750 206327000 223929200 279911500 412654000 559823000 954600001 1119646000 1909200002 3818400004 4773000005 7636800008 9546000010 10500600011 15273600016 19092000020 21001200022 23865000025 38184000040 42002400044 47730000050 52503000055 76368000080 84004800088 95460000100 105006000110 119325000125 168009600176 190920000200 210012000220 238650000250 262515000275 381840000400 420024000440 477300000500 525030000550 840048000880 954600001000 1050060001100 1312575001375 1909200002000 2100120002200 2625150002750 4200240004400 5250300005500 10500600011000 21001200022000