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11021022122000 = 2453111907262693
BaseRepresentation
bin1010000001100000100000…
…0110111101000000010000
31110000121011222111010100112
42200120020012331000100
52421032023130401000
635234553200340452
72215146126235622
oct240301006750020
943017158433315
1011021022122000
113569a97741360
12129bb46014728
1361c37c7b30b7
142a15c54c6c12
15141a37026235
hexa06081bd010

11021022122000 has 160 divisors (see below), whose sum is σ = 29086807860864. Its totient is φ = 4005527616000.

The previous prime is 11021022121979. The next prime is 11021022122003. The reversal of 11021022122000 is 22122012011.

It is a super-2 number, since 2×110210221220002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11021022122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41822654 + ... + 42085346.

Almost surely, 211021022122000 is an apocalyptic number.

11021022122000 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 11021022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14543403930432).

11021022122000 is an abundant number, since it is smaller than the sum of its proper divisors (18065785738864).

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

11021022122000 is a wasteful number, since it uses less digits than its factorization.

11021022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264634 (or 264618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11021022122000 its reverse (22122012011), we get a palindrome (11043144134011).

The spelling of 11021022122000 in words is "eleven trillion, twenty-one billion, twenty-two million, one hundred 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 1907 2000 2200 2750 3814 4400 5500 7628 9535 11000 15256 19070 20977 22000 30512 38140 41954 47675 76280 83908 95350 104885 152560 167816 190700 209770 238375 262693 335632 381400 419540 476750 524425 525386 762800 839080 953500 1048850 1050772 1313465 1678160 1907000 2097700 2101544 2622125 2626930 2889623 3814000 4195400 4203088 5244250 5253860 5779246 6567325 8390800 10488500 10507720 11558492 13134650 14448115 20977000 21015440 23116984 26269300 28896230 32836625 41954000 46233968 52538600 57792460 65673250 72240575 105077200 115584920 131346500 144481150 231169840 262693000 288962300 361202875 500955551 525386000 577924600 722405750 1001911102 1155849200 1444811500 2003822204 2504777755 2889623000 4007644408 5009555510 5510511061 5779246000 8015288816 10019111020 11021022122 12523888775 20038222040 22042044244 25047777550 27552555305 40076444080 44084088488 50095555100 55105110610 62619443875 88168176976 100191110200 110210221220 125238887750 137762776525 200382220400 220420442440 250477775500 275525553050 440840884880 500955551000 551051106100 688813882625 1001911102000 1102102212200 1377627765250 2204204424400 2755255530500 5510511061000 11021022122000