Search a number
-
+
120110101001020 = 2251322871230116421
BaseRepresentation
bin11011010011110101001111…
…111001110111001100111100
3120202021102011110020101200001
4123103311033321313030330
5111220340441324013040
61103241452455244044
734204445162226214
oct3323651771671474
9522242143211601
10120110101001020
11352a8453829939
121157a185979624
13520344582aba0
142193507825244
15dd451554e59a
hex6d3d4fe7733c

120110101001020 has 96 divisors (see below), whose sum is σ = 271791028244736. Its totient is φ = 44322650496000.

The previous prime is 120110101000987. The next prime is 120110101001053. The reversal of 120110101001020 is 20100101011021.

It is an interprime number because it is at equal distance from previous prime (120110101000987) and next prime (120110101001053).

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

It is a junction number, because it is equal to n+sod(n) for n = 120110101000988 and 120110101001006.

It is a congruent number.

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, 7314412410 + ... + 7314428830.

It is an arithmetic number, because the mean of its divisors is an integer number (2831156544216).

Almost surely, 2120110101001020 is an apocalyptic number.

120110101001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120110101001020 is an abundant number, since it is smaller than the sum of its proper divisors (151680927243716).

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

120110101001020 is a wasteful number, since it uses less digits than its factorization.

120110101001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31031 (or 31029 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 120110101001020 its reverse (20100101011021), we get a palindrome (140210202012041).

The spelling of 120110101001020 in words is "one hundred twenty trillion, one hundred ten billion, one hundred one million, one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2287 4574 9148 11435 12301 16421 22870 24602 29731 32842 45740 49204 59462 61505 65684 82105 118924 123010 148655 159913 164210 213473 246020 297310 319826 328420 426946 594620 639652 799565 853892 1067365 1599130 2134730 3198260 4269460 28132387 37554827 56264774 75109654 112529548 140661935 150219308 187774135 201994721 281323870 365721031 375548270 403989442 488212751 562647740 731442062 751096540 807978884 976425502 1009973605 1462884124 1828605155 1952851004 2019947210 2441063755 2625931373 3657210310 4039894420 4882127510 5251862746 7314420620 9764255020 10503725492 13129656865 26259313730 52518627460 461961926927 923923853854 1847847707708 2309809634635 4619619269270 6005505050051 9239238538540 12011010100102 24022020200204 30027525250255 60055050500510 120110101001020