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1030103030120 = 235613971063409
BaseRepresentation
bin11101111110101101110…
…11001101100101101000
310122110212122120210121112
432333112323031211220
5113334122333430440
62105120042525452
7134264625200153
oct16772673154550
93573778523545
101030103030120
1136795633aa8a
12147783506888
13761a4ac56b8
1437c00430c9a
151bbde442965
hexefd6ecd968

1030103030120 has 64 divisors (see below), whose sum is σ = 2361663464400. Its totient is φ = 404265185280.

The previous prime is 1030103030081. The next prime is 1030103030219. The reversal of 1030103030120 is 210303010301.

It can be written as a sum of positive squares in 8 ways, for example, as 22926199396 + 1007176830724 = 151414^2 + 1003582^2 .

It is a super-2 number, since 2×10301030301202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030103030095 and 1030103030104.

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, 436976 + ... + 1500384.

Almost surely, 21030103030120 is an apocalyptic number.

1030103030120 is a gapful number since it is divisible by the number (10) 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 1030103030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180831732200).

1030103030120 is an abundant number, since it is smaller than the sum of its proper divisors (1331560434280).

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

1030103030120 is a wasteful number, since it uses less digits than its factorization.

1030103030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063878 (or 1063874 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1030103030120 its reverse (210303010301), we get a palindrome (1240406040421).

The spelling of 1030103030120 in words is "one trillion, thirty billion, one hundred three million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 397 488 610 794 1220 1588 1985 2440 3176 3970 7940 15880 24217 48434 96868 121085 193736 242170 484340 968680 1063409 2126818 4253636 5317045 8507272 10634090 21268180 42536360 64867949 129735898 259471796 324339745 422173373 518943592 648679490 844346746 1297358980 1688693492 2110866865 2594717960 3377386984 4221733730 8443467460 16886934920 25752575753 51505151506 103010303012 128762878765 206020606024 257525757530 515051515060 1030103030120