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11012108012832 = 2531632777253417
BaseRepresentation
bin1010000000111111010011…
…0010010100110100100000
31102222202011202000110102010
42200033310302110310200
52420410244122402312
635230520444152520
72214412205454303
oct240176462246440
942882152013363
1011012108012832
113566232985193
12129a278838740
1361b58ba765a4
142a0dbb66cb3a
151416b466393c
hexa03f4c94d20

11012108012832 has 96 divisors (see below), whose sum is σ = 29094713790912. Its totient is φ = 3646854918144.

The previous prime is 11012108012827. The next prime is 11012108012849. The reversal of 11012108012832 is 23821080121011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11012108012832.

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, 43327788 + ... + 43581204.

It is an arithmetic number, because the mean of its divisors is an integer number (303069935322).

Almost surely, 211012108012832 is an apocalyptic number.

11012108012832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012108012832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14547356895456).

11012108012832 is an abundant number, since it is smaller than the sum of its proper divisors (18082605778080).

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

11012108012832 is a wasteful number, since it uses less digits than its factorization.

11012108012832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256370 (or 256362 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

Adding to 11012108012832 its reverse (23821080121011), we get a palindrome (34833188133843).

The spelling of 11012108012832 in words is "eleven trillion, twelve billion, one hundred eight million, twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 2777 3912 5216 5554 7824 8331 11108 15648 16662 22216 33324 44432 66648 88864 133296 253417 266592 452651 506834 760251 905302 1013668 1357953 1520502 1810604 2027336 2715906 3041004 3621208 4054672 5431812 6082008 7242416 8109344 10863624 12164016 14484832 21727248 24328032 41306971 43454496 82613942 123920913 165227884 247841826 330455768 495683652 660911536 703739009 991367304 1321823072 1407478018 1982734608 2111217027 2814956036 3965469216 4222434054 5629912072 8444868108 11259824144 16889736216 22519648288 33779472432 67558944864 114709458467 229418916934 344128375401 458837833868 688256750802 917675667736 1376513501604 1835351335472 2753027003208 3670702670944 5506054006416 11012108012832