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1134121203432 = 233371275906143
BaseRepresentation
bin10000100000001110111…
…001000011011011101000
311000102100212010111102000
4100200032321003123220
5122040140012002212
62225001425211000
7144636403112520
oct20401671033350
94012325114360
101134121203432
113a7a83942178
12163972a90a60
1382c40c1a689
143cc6adb6680
151e77b2e21dc
hex1080ee436e8

1134121203432 has 128 divisors (see below), whose sum is σ = 3628734873600. Its totient is φ = 321483121344.

The previous prime is 1134121203431. The next prime is 1134121203491. The reversal of 1134121203432 is 2343021214311.

1134121203432 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 21 + 203 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1134121203396 and 1134121203405.

It is not an unprimeable number, because it can be changed into a prime (1134121203431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2761048 + ... + 3145095.

It is an arithmetic number, because the mean of its divisors is an integer number (28349491200).

Almost surely, 21134121203432 is an apocalyptic number.

1134121203432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1134121203432 is an abundant number, since it is smaller than the sum of its proper divisors (2494613670168).

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

1134121203432 is a wasteful number, since it uses less digits than its factorization.

1134121203432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906292 (or 5906282 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1134121203432 its reverse (2343021214311), we get a palindrome (3477142417743).

The spelling of 1134121203432 in words is "one trillion, one hundred thirty-four billion, one hundred twenty-one million, two hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 127 168 189 216 252 254 378 381 504 508 756 762 889 1016 1143 1512 1524 1778 2286 2667 3048 3429 3556 4572 5334 6858 7112 8001 9144 10668 13716 16002 21336 24003 27432 32004 48006 64008 96012 192024 5906143 11812286 17718429 23624572 35436858 41343001 47249144 53155287 70873716 82686002 106310574 124029003 141747432 159465861 165372004 212621148 248058006 318931722 330744008 372087009 425242296 496116012 637863444 744174018 750080161 992232024 1116261027 1275726888 1488348036 1500160322 2232522054 2250240483 2976696072 3000320644 4465044108 4500480966 5250561127 6000641288 6750721449 8930088216 9000961932 10501122254 13501442898 15751683381 18001923864 20252164347 21002244508 27002885796 31503366762 40504328694 42004489016 47255050143 54005771592 63006733524 81008657388 94510100286 126013467048 141765150429 162017314776 189020200572 283530300858 378040401144 567060601716 1134121203432