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2111020021000 = 235311971978463
BaseRepresentation
bin11110101110000010100…
…110010011010100001000
321110210220121121021002201
4132232002212103110020
5234041332111133000
64253442245205544
7305342021053462
oct36560246232410
97423817537081
102111020021000
11744307849860
122a11684008b4
131240b718b2a7
1474261313132
1539da490d96a
hex1eb82993508

2111020021000 has 128 divisors (see below), whose sum is σ = 5444416373760. Its totient is φ = 759729408000.

The previous prime is 2111020020973. The next prime is 2111020021001. The reversal of 2111020021000 is 1200201112.

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 (2111020021001) 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, 77769 + ... + 2056231.

It is an arithmetic number, because the mean of its divisors is an integer number (42534502920).

Almost surely, 22111020021000 is an apocalyptic number.

2111020021000 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 2111020021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722208186880).

2111020021000 is an abundant number, since it is smaller than the sum of its proper divisors (3333396352760).

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

2111020021000 is a wasteful number, since it uses less digits than its factorization.

2111020021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978592 (or 1978578 counting only the distinct ones).

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

Adding to 2111020021000 its reverse (1200201112), we get a palindrome (2112220222112).

The spelling of 2111020021000 in words is "two trillion, one hundred eleven billion, twenty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 125 194 200 220 250 275 388 440 485 500 550 776 970 1000 1067 1100 1375 1940 2134 2200 2425 2750 3880 4268 4850 5335 5500 8536 9700 10670 11000 12125 19400 21340 24250 26675 42680 48500 53350 97000 106700 133375 213400 266750 533500 1067000 1978463 3956926 7913852 9892315 15827704 19784630 21763093 39569260 43526186 49461575 79138520 87052372 98923150 108815465 174104744 191910911 197846300 217630930 247307875 383821822 395692600 435261860 494615750 544077325 767643644 870523720 959554555 989231500 1088154650 1535287288 1919109110 1978463000 2111020021 2176309300 2720386625 3838218220 4222040042 4352618600 4797772775 5440773250 7676436440 8444080084 9595545550 10555100105 10881546500 16888160168 19191091100 21110200210 21763093000 23988863875 38382182200 42220400420 47977727750 52775500525 84440800840 95955455500 105551001050 191910911000 211102002100 263877502625 422204004200 527755005250 1055510010500 2111020021000