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112021001021000 = 23531932359182201
BaseRepresentation
bin11001011110000111101011…
…111110010010011001001000
3112200122002210011112000222202
4121132013223332102121020
5104140323002230133000
61034125423141335332
732411151555664241
oct3136075376223110
9480562704460882
10112021001021000
1132769926770985
1210692506707548
134a676c5717276
141d93bb9a0bcc8
15ce3dcb28edd5
hex65e1ebf92648

112021001021000 has 128 divisors (see below), whose sum is σ = 275935454496000. Its totient is φ = 42448518720000.

The previous prime is 112021001020967. The next prime is 112021001021029. The reversal of 112021001021000 is 120100120211.

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, 614729900 + ... + 614912100.

It is an arithmetic number, because the mean of its divisors is an integer number (2155745738250).

Almost surely, 2112021001021000 is an apocalyptic number.

112021001021000 is a gapful number since it is divisible by the number (10) 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 112021001021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137967727248000).

112021001021000 is an abundant number, since it is smaller than the sum of its proper divisors (163914453475000).

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

112021001021000 is a wasteful number, since it uses less digits than its factorization.

112021001021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214600 (or 214586 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112021001021000 its reverse (120100120211), we get a palindrome (112141101141211).

The spelling of 112021001021000 in words is "one hundred twelve trillion, twenty-one billion, one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 32359 64718 129436 161795 182201 258872 323590 364402 614821 647180 728804 808975 911005 1229642 1294360 1457608 1617950 1822010 2459284 3074105 3235900 3461819 3644020 4044875 4555025 4918568 6148210 6471800 6923638 7288040 8089750 9110050 12296420 13847276 15370525 16179500 17309095 18220100 22775125 24592840 27694552 30741050 32359000 34618190 36440200 45550250 61482100 69236380 76852625 86545475 91100500 122964200 138472760 153705250 173090950 182201000 307410500 346181900 432727375 614821000 692363800 865454750 1730909500 3461819000 5895842159 11791684318 23583368636 29479210795 47166737272 58958421590 112021001021 117916843180 147396053975 224042002042 235833686360 294792107950 448084004084 560105005105 589584215900 736980269875 896168008168 1120210010210 1179168431800 1473960539750 2240420020420 2800525025525 2947921079500 4480840040840 5601050051050 5895842159000 11202100102100 14002625127625 22404200204200 28005250255250 56010500510500 112021001021000