Search a number
-
+
1020110110010 = 251929675774789
BaseRepresentation
bin11101101100000110100…
…11001111110100111010
310121112002020010212021022
432312003103033310322
5113203141142010020
62100344311542442
7133462164603245
oct16660323176472
93545066125238
101020110110010
11363698621222
1214585498aa22
1375271716914
14375331d225c
151b806ed2625
hexed834cfd3a

1020110110010 has 128 divisors (see below), whose sum is σ = 2033274528000. Its totient is φ = 366953545728.

The previous prime is 1020110110007. The next prime is 1020110110021. The reversal of 1020110110010 is 100110110201.

It is a happy number.

It is a super-2 number, since 2×10201101100102 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1020110110010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213008696 + ... + 213013484.

It is an arithmetic number, because the mean of its divisors is an integer number (15884957250).

Almost surely, 21020110110010 is an apocalyptic number.

1020110110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020110110010 is a deficient number, since it is larger than the sum of its proper divisors (1013164417990).

1020110110010 is a wasteful number, since it uses less digits than its factorization.

1020110110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1020110110010 its reverse (100110110201), we get a palindrome (1120220220211).

The spelling of 1020110110010 in words is "one trillion, twenty billion, one hundred ten million, one hundred ten thousand, ten".

Divisors: 1 2 5 10 19 29 38 58 67 95 134 145 190 290 335 551 577 670 1102 1154 1273 1943 2546 2755 2885 3886 4789 5510 5770 6365 9578 9715 10963 12730 16733 19430 21926 23945 33466 36917 38659 47890 54815 73834 77318 83665 90991 109630 138881 167330 181982 184585 193295 277762 317927 320863 369170 386590 454955 635854 641726 694405 734521 909910 1121111 1388810 1469042 1589635 1604315 2242222 2638739 2763253 3179270 3208630 3672605 5277478 5526506 5605555 6096397 7345210 9305027 11211110 12192794 13193695 13816265 18610054 21301109 26387390 27632530 30481985 42602218 46525135 52501807 60963970 80134337 93050270 105003614 106505545 160268674 176795513 185137951 213011090 262509035 353591026 370275902 400671685 525018070 801343370 883977565 925689755 1522552403 1767955130 1851379510 3045104806 3517621069 5369000579 7035242138 7612762015 10738001158 15225524030 17588105345 26845002895 35176210690 53690005790 102011011001 204022022002 510055055005 1020110110010