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21212210001000 = 2335337191100991
BaseRepresentation
bin1001101001010110110100…
…01111011111010001101000
32210002212102101102221012110
410310223122033133101220
510240020101230013000
6113040431005242320
74316350224021324
oct464533217372150
983085371387173
1021212210001000
1168390585a9647
12246709a2633a0
13bab3c23ac6b5
1453496822a984
1526bba1974850
hex134ada3df468

21212210001000 has 128 divisors (see below), whose sum is σ = 67970800834560. Its totient is φ = 5503708512000.

The previous prime is 21212210000987. The next prime is 21212210001097. The reversal of 21212210001000 is 10001221212.

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 31 ways as a sum of consecutive naturals, for example, 95439496 + ... + 95661495.

It is an arithmetic number, because the mean of its divisors is an integer number (531021881520).

Almost surely, 221212210001000 is an apocalyptic number.

21212210001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212210001000 is an abundant number, since it is smaller than the sum of its proper divisors (46758590833560).

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

21212210001000 is a wasteful number, since it uses less digits than its factorization.

21212210001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191101052 (or 191101038 counting only the distinct ones).

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

Adding to 21212210001000 its reverse (10001221212), we get a palindrome (21222211222212).

The spelling of 21212210001000 in words is "twenty-one trillion, two hundred twelve billion, two hundred ten million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 191100991 382201982 573302973 764403964 955504955 1146605946 1528807928 1911009910 2293211892 2866514865 3822019820 4586423784 4777524775 5733029730 7070736667 7644039640 9555049550 11466059460 14141473334 14332574325 19110099100 21212210001 22932118920 23887623875 28282946668 28665148650 35353683335 38220198200 42424420002 47775247750 56565893336 57330297300 70707366670 71662871625 84848840004 95550495500 106061050005 114660594600 141414733340 143325743250 169697680008 176768416675 191100991000 212122100010 282829466680 286651486500 353536833350 424244200020 530305250025 573302973000 707073666700 848488400040 883842083375 1060610500050 1414147333400 1767684166750 2121221000100 2651526250125 3535368333500 4242442000200 5303052500250 7070736667000 10606105000500 21212210001000