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1030404001120 = 25513784163179
BaseRepresentation
bin11101111111010001101…
…11010100110101100000
310122111122121220201012121
432333220313110311200
5113340231411013440
62105205553434024
7134305241332504
oct16775067246540
93574577821177
101030404001120
11367aa0217a4a
1214784826b914
1376222273450
1437c2c3b8304
151bc0aa9434a
hexefe8dd4d60

1030404001120 has 96 divisors (see below), whose sum is σ = 2621961407520. Its totient is φ = 380402319360.

The previous prime is 1030404001091. The next prime is 1030404001129. The reversal of 1030404001120 is 211004040301.

It is a super-2 number, since 2×10304040011202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1030404001094 and 1030404001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030404001129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16277691 + ... + 16340869.

It is an arithmetic number, because the mean of its divisors is an integer number (27312097995).

Almost surely, 21030404001120 is an apocalyptic number.

1030404001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030404001120 is an abundant number, since it is smaller than the sum of its proper divisors (1591557406400).

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

1030404001120 is a wasteful number, since it uses less digits than its factorization.

1030404001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71048 (or 71040 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1030404001120 its reverse (211004040301), we get a palindrome (1241408041421).

The spelling of 1030404001120 in words is "one trillion, thirty billion, four hundred four million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 7841 15682 31364 39205 62728 63179 78410 101933 125456 126358 156820 203866 250912 252716 313640 315895 407732 505432 509665 627280 631790 815464 821327 1010864 1019330 1254560 1263580 1630928 1642654 2021728 2038660 2527160 3261856 3285308 4077320 4106635 5054320 6570616 8154640 8213270 10108640 13141232 16309280 16426540 26282464 32853080 65706160 131412320 495386539 990773078 1981546156 2476932695 3963092312 4953865390 6440025007 7926184624 9907730780 12880050014 15852369248 19815461560 25760100028 32200125035 39630923120 51520200056 64400250070 79261846240 103040400112 128800500140 206080800224 257601000280 515202000560 1030404001120