Search a number
-
+
11031151520032 = 257431911125423
BaseRepresentation
bin1010000010000110001111…
…0111100010100100100000
31110001120022220201212012121
42200201203313202210200
52421213244242120112
635243350244434024
72215655134553410
oct240414367424440
943046286655177
1011031151520032
1135733154a6a96
1212a1ab23a8914
13620305238047
142a1ca68d0640
15141e2b444407
hexa0863de2920

11031151520032 has 96 divisors (see below), whose sum is σ = 24905184804864. Its totient is φ = 4711452345600.

The previous prime is 11031151519991. The next prime is 11031151520089. The reversal of 11031151520032 is 23002515113011.

It is a junction number, because it is equal to n+sod(n) for n = 11031151519979 and 11031151520006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87888873 + ... + 88014295.

It is an arithmetic number, because the mean of its divisors is an integer number (259429008384).

Almost surely, 211031151520032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031151520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12452592402432).

11031151520032 is an abundant number, since it is smaller than the sum of its proper divisors (13874033284832).

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

11031151520032 is a wasteful number, since it uses less digits than its factorization.

11031151520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126782 (or 126774 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 11031151520032 its reverse (23002515113011), we get a palindrome (34033666633043).

The spelling of 11031151520032 in words is "eleven trillion, thirty-one billion, one hundred fifty-one million, five hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 431 862 911 1724 1822 3017 3448 3644 6034 6377 6896 7288 12068 12754 13792 14576 24136 25508 29152 48272 51016 96544 102032 125423 204064 250846 392641 501692 785282 877961 1003384 1570564 1755922 2006768 2748487 3141128 3511844 4013536 5496974 6282256 7023688 10993948 12564512 14047376 21987896 28094752 43975792 54057313 87951584 108114626 114260353 216229252 228520706 378401191 432458504 457041412 756802382 799822471 864917008 914082824 1513604764 1599644942 1729834016 1828165648 3027209528 3199289884 3656331296 6054419056 6398579768 12108838112 12797159536 25594319072 49246212143 98492424286 196984848572 344723485001 393969697144 689446970002 787939394288 1378893940004 1575878788576 2757787880008 5515575760016 11031151520032