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11022010001010 = 2335317318039001
BaseRepresentation
bin1010000001100100001011…
…1111011010011001110010
31110000200201211100120121000
42200121002333122121302
52421041034030013020
635235235210142430
72215212453124431
oct240310277323162
943020654316530
1011022010001010
11356a454336498
1212a0180a21a16
1361c4a93681a8
142a167a79b118
15141a93b11090
hexa0642fda672

11022010001010 has 128 divisors (see below), whose sum is σ = 30755776849920. Its totient is φ = 2805425280000.

The previous prime is 11022010000951. The next prime is 11022010001017. The reversal of 11022010001010 is 1010001022011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11022010000983 and 11022010001001.

It is not an unprimeable number, because it can be changed into a prime (11022010001017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8408491 + ... + 9630510.

It is an arithmetic number, because the mean of its divisors is an integer number (240279506640).

Almost surely, 211022010001010 is an apocalyptic number.

11022010001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11022010001010 is an abundant number, since it is smaller than the sum of its proper divisors (19733766848910).

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

11022010001010 is a wasteful number, since it uses less digits than its factorization.

11022010001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18039121 (or 18039115 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11022010001010 its reverse (1010001022011), we get a palindrome (12032011023021).

The spelling of 11022010001010 in words is "eleven trillion, twenty-two billion, ten million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 73 90 93 135 146 155 186 219 270 279 310 365 438 465 558 657 730 837 930 1095 1314 1395 1674 1971 2190 2263 2790 3285 3942 4185 4526 6570 6789 8370 9855 11315 13578 19710 20367 22630 33945 40734 61101 67890 101835 122202 203670 305505 611010 18039001 36078002 54117003 90195005 108234006 162351009 180390010 270585015 324702018 487053027 541170030 559209031 811755045 974106054 1118418062 1316847073 1623510090 1677627093 2435265135 2633694146 2796045155 3355254186 3950541219 4870530270 5032881279 5592090310 6584235365 7901082438 8388135465 10065762558 11851623657 13168470730 15098643837 16776270930 19752706095 23703247314 25164406395 30197287674 35554870971 39505412190 40822259263 50328812790 59258118285 71109741942 75493219185 81644518526 118516236570 122466777789 150986438370 177774354855 204111296315 244933555578 355548709710 367400333367 408222592630 612333888945 734800666734 1102201000101 1224667777890 1837001666835 2204402000202 3674003333670 5511005000505 11022010001010