Search a number
-
+
13120031133024 = 253297959653859
BaseRepresentation
bin1011111011101011111011…
…0010111000110101100000
31201110021002112020212020220
42332322332302320311200
53204424310432224044
643523131544203040
72522614413401544
oct276727662706540
951407075225226
1013120031133024
1141a91a0599592
12157a8bba69480
137422a145339a
14335027553a24
1517b43723c019
hexbeebecb8d60

13120031133024 has 96 divisors (see below), whose sum is σ = 36078654528000. Its totient is φ = 4169088827904.

The previous prime is 13120031132987. The next prime is 13120031133061. The reversal of 13120031133024 is 42033113002131.

It is an interprime number because it is at equal distance from previous prime (13120031132987) and next prime (13120031133061).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13120031132985 and 13120031133003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29606994 + ... + 30046865.

It is an arithmetic number, because the mean of its divisors is an integer number (375819318000).

Almost surely, 213120031133024 is an apocalyptic number.

It is an amenable number.

13120031133024 is an abundant number, since it is smaller than the sum of its proper divisors (22958623394976).

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

13120031133024 is a wasteful number, since it uses less digits than its factorization.

13120031133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59653980 (or 59653972 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13120031133024 its reverse (42033113002131), we get a palindrome (55153144135155).

The spelling of 13120031133024 in words is "thirteen trillion, one hundred twenty billion, thirty-one million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 79 87 96 116 158 174 232 237 316 348 464 474 632 696 928 948 1264 1392 1896 2291 2528 2784 3792 4582 6873 7584 9164 13746 18328 27492 36656 54984 73312 109968 219936 59653859 119307718 178961577 238615436 357923154 477230872 715846308 954461744 1431692616 1729961911 1908923488 2863385232 3459923822 4712654861 5189885733 5726770464 6919847644 9425309722 10379771466 13839695288 14137964583 18850619444 20759542932 27679390576 28275929166 37701238888 41519085864 55358781152 56551858332 75402477776 83038171728 113103716664 136666990969 150804955552 166076343456 226207433328 273333981938 410000972907 452414866656 546667963876 820001945814 1093335927752 1640003891628 2186671855504 3280007783256 4373343711008 6560015566512 13120031133024