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1022001112000 = 26531111613649
BaseRepresentation
bin11101101111101000000…
…00110110001111000000
310121200222000101201100001
432313310000312033000
5113221024241041000
62101300102405344
7133560066055501
oct16676400661700
93550860351301
101022001112000
11364478a90a90
121460a2130854
13754b34199cb
14376723d6ba8
151b8b801446a
hexedf40363c0

1022001112000 has 112 divisors (see below), whose sum is σ = 2761075605600. Its totient is φ = 371636736000.

The previous prime is 1022001111983. The next prime is 1022001112037. The reversal of 1022001112000 is 2111002201.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5718825 + ... + 5894824.

Almost surely, 21022001112000 is an apocalyptic number.

1022001112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022001112000 is an abundant number, since it is smaller than the sum of its proper divisors (1739074493600).

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

1022001112000 is a wasteful number, since it uses less digits than its factorization.

1022001112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613687 (or 11613667 counting only the distinct ones).

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

Adding to 1022001112000 its reverse (2111002201), we get a palindrome (1024112114201).

The spelling of 1022001112000 in words is "one trillion, twenty-two billion, one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 11613649 23227298 46454596 58068245 92909192 116136490 127750139 185818384 232272980 255500278 290341225 371636768 464545960 511000556 580682450 638750695 743273536 929091920 1022001112 1161364900 1277501390 1451706125 1858183840 2044002224 2322729800 2555002780 2903412250 3193753475 3716367680 4088004448 4645459600 5110005560 5806824500 6387506950 8176008896 9290919200 10220011120 11613649000 12775013900 15968767375 18581838400 20440022240 23227298000 25550027800 31937534750 40880044480 46454596000 51100055600 63875069500 92909192000 102200111200 127750139000 204400222400 255500278000 511000556000 1022001112000