Search a number
-
+
1010122100010 = 23551373302759
BaseRepresentation
bin11101011001011111111…
…10000000110100101010
310120120022010221101100000
432230233332000310222
5113022212224200020
62052013234123430
7132656524116462
oct16545776006452
93516263841300
101010122100010
1135a432656501
12143927a20576
137433c366a2a
1436c668b0ba2
151b4201e2090
hexeb2ff80d2a

1010122100010 has 96 divisors (see below), whose sum is σ = 2725581156480. Its totient is φ = 269168816448.

The previous prime is 1010122099963. The next prime is 1010122100017. The reversal of 1010122100010 is 100012210101.

It is a happy number.

It is a super-2 number, since 2×10101221000102 (a number of 25 digits) contains 22 as substring.

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 = 1010122099965 and 1010122100001.

It is not an unprimeable number, because it can be changed into a prime (1010122100017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3185011 + ... + 3487769.

It is an arithmetic number, because the mean of its divisors is an integer number (28391470380).

Almost surely, 21010122100010 is an apocalyptic number.

1010122100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010122100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362790578240).

1010122100010 is an abundant number, since it is smaller than the sum of its proper divisors (1715459056470).

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

1010122100010 is a wasteful number, since it uses less digits than its factorization.

1010122100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304154 (or 304142 counting only the distinct ones).

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

Adding to 1010122100010 its reverse (100012210101), we get a palindrome (1110134310111).

It can be divided in two parts, 101012 and 2100010, that added together give a palindrome (2201022).

The spelling of 1010122100010 in words is "one trillion, ten billion, one hundred twenty-two million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 1373 2430 2746 4119 6865 8238 12357 13730 20595 24714 37071 41190 61785 74142 111213 123570 185355 222426 302759 333639 370710 556065 605518 667278 908277 1112130 1513795 1668195 1816554 2724831 3027590 3336390 4541385 5449662 8174493 9082770 13624155 16348986 24523479 27248310 40872465 49046958 73570437 81744930 122617395 147140874 245234790 367852185 415688107 735704370 831376214 1247064321 2078440535 2494128642 3741192963 4156881070 6235321605 7482385926 11223578889 12470643210 18705964815 22447157778 33670736667 37411929630 56117894445 67341473334 101012210001 112235788890 168353683335 202024420002 336707366670 505061050005 1010122100010