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11023021000 = 2353171934127
BaseRepresentation
bin10100100010000010…
…11111001111001000
31001110012202111010001
422101001133033020
5140033343133000
65021445332344
7540106063315
oct122101371710
931405674101
1011023021000
114747231912
1221777070b4
131068927b44
14767d83d0c
15447ada46a
hex29105f3c8

11023021000 has 128 divisors (see below), whose sum is σ = 28749427200. Its totient is φ = 3931315200.

The previous prime is 11023020991. The next prime is 11023021021. The reversal of 11023021000 is 12032011.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 305937 + ... + 340063.

It is an arithmetic number, because the mean of its divisors is an integer number (224604900).

Almost surely, 211023021000 is an apocalyptic number.

11023021000 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 11023021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374713600).

11023021000 is an abundant number, since it is smaller than the sum of its proper divisors (17726406200).

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

11023021000 is a wasteful number, since it uses less digits than its factorization.

11023021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34184 (or 34170 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11023021000 its reverse (12032011), we get a palindrome (11035053011).

The spelling of 11023021000 in words is "eleven billion, twenty-three million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 125 136 152 170 190 200 250 323 340 380 425 475 500 646 680 760 850 950 1000 1292 1615 1700 1900 2125 2375 2584 3230 3400 3800 4250 4750 6460 8075 8500 9500 12920 16150 17000 19000 32300 34127 40375 64600 68254 80750 136508 161500 170635 273016 323000 341270 580159 648413 682540 853175 1160318 1296826 1365080 1706350 2320636 2593652 2900795 3242065 3412700 4265875 4641272 5187304 5801590 6484130 6825400 8531750 11023021 11603180 12968260 14503975 16210325 17063500 22046042 23206360 25936520 29007950 32420650 34127000 44092084 55115105 58015900 64841300 72519875 81051625 88184168 110230210 116031800 129682600 145039750 162103250 220460420 275575525 290079500 324206500 440920840 551151050 580159000 648413000 1102302100 1377877625 2204604200 2755755250 5511510500 11023021000