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1010132003112 = 233235233498947
BaseRepresentation
bin11101011001100001000…
…11110010100100101000
310120120022211120111211120
432230300203302210220
5113022222243044422
62052014230255240
7132660004233501
oct16546043624450
93516284514746
101010132003112
1135a4381aa891
1214392b1b7520
137434142345b
1436c67d2bba8
151b420eeb45c
hexeb308f2928

1010132003112 has 64 divisors (see below), whose sum is σ = 2640166202880. Its totient is φ = 321455166912.

The previous prime is 1010132003093. The next prime is 1010132003117. The reversal of 1010132003112 is 2113002310101.

It is a happy number.

It is a super-3 number, since 3×10101320031123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1010132003091 and 1010132003100.

It is not an unprimeable number, because it can be changed into a prime (1010132003117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1460778 + ... + 2038169.

It is an arithmetic number, because the mean of its divisors is an integer number (41252596920).

Almost surely, 21010132003112 is an apocalyptic number.

1010132003112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010132003112 is an abundant number, since it is smaller than the sum of its proper divisors (1630034199768).

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

1010132003112 is a wasteful number, since it uses less digits than its factorization.

1010132003112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499502 (or 3499498 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1010132003112 its reverse (2113002310101), we get a palindrome (3123134313213).

The spelling of 1010132003112 in words is "one trillion, ten billion, one hundred thirty-two million, three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 523 552 1046 1569 2092 3138 4184 6276 12029 12552 24058 36087 48116 72174 96232 144348 288696 3498947 6997894 10496841 13995788 20993682 27991576 41987364 80475781 83974728 160951562 241427343 321903124 482854686 643806248 965709372 1829949281 1931418744 3659898562 5489847843 7319797124 10979695686 14639594248 21959391372 42088833463 43918782744 84177666926 126266500389 168355333852 252533000778 336710667704 505066001556 1010132003112