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1001121000110 = 2571131101415253
BaseRepresentation
bin11101001000101110111…
…01100010101010101110
310112201001211210010112122
432210113131202222232
5112400243434000420
62043524133232542
7132220466044640
oct16442735425256
93481054703478
101001121000110
11356633783970
12142035492752
13735365bcc0a
1436651290890
151b094d99725
hexe917762aae

1001121000110 has 128 divisors (see below), whose sum is σ = 2342112288768. Its totient is φ = 298981440000.

The previous prime is 1001121000083. The next prime is 1001121000133. The reversal of 1001121000110 is 110001211001.

It is a happy number.

It is a super-2 number, since 2×10011210001102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2203244 + ... + 2618496.

It is an arithmetic number, because the mean of its divisors is an integer number (18297752256).

Almost surely, 21001121000110 is an apocalyptic number.

1001121000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001121000110 is an abundant number, since it is smaller than the sum of its proper divisors (1340991288658).

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

1001121000110 is a wasteful number, since it uses less digits than its factorization.

1001121000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415410.

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

Adding to 1001121000110 its reverse (110001211001), we get a palindrome (1111122211111).

The spelling of 1001121000110 in words is "one trillion, one billion, one hundred twenty-one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 11 14 22 31 35 55 62 70 77 101 110 154 155 202 217 310 341 385 434 505 682 707 770 1010 1085 1111 1414 1705 2170 2222 2387 3131 3410 3535 4774 5555 6262 7070 7777 11110 11935 15554 15655 21917 23870 31310 34441 38885 43834 68882 77770 109585 172205 219170 241087 344410 415253 482174 830506 1205435 2076265 2410870 2906771 4152530 4567783 5813542 9135566 12872843 14533855 22838915 25745686 29067710 31974481 41940553 45677830 63948962 64364215 83881106 90109901 128728430 141601273 159872405 180219802 209702765 283202546 293583871 319744810 419405530 450549505 461346083 587167742 708006365 901099010 922692166 991208911 1300157143 1416012730 1467919355 1982417822 2306730415 2600314286 2935838710 3229422581 4613460830 4956044555 6458845162 6500785715 9101100001 9912089110 13001571430 14301728573 16147112905 18202200002 28603457146 32294225810 45505500005 71508642865 91011000010 100112100011 143017285730 200224200022 500560500055 1001121000110