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1030113232120 = 23576788162327
BaseRepresentation
bin11101111110101111000…
…10001000010011111000
310122110220100210010010101
432333113202020103320
5113334132441411440
62105121045325144
7134265111000460
oct16772742102370
93573810703111
101030113232120
11367961078995
12147786a067b4
13761a6c5819b
1437c01928ba0
151bbe02aa69a
hexefd78884f8

1030113232120 has 128 divisors (see below), whose sum is σ = 2691492572160. Its totient is φ = 347509831680.

The previous prime is 1030113232091. The next prime is 1030113232129. The reversal of 1030113232120 is 212323110301.

It is a super-2 number, since 2×10301132321202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030113232129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16496397 + ... + 16558723.

It is an arithmetic number, because the mean of its divisors is an integer number (21027285720).

Almost surely, 21030113232120 is an apocalyptic number.

1030113232120 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 1030113232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345746286080).

1030113232120 is an abundant number, since it is smaller than the sum of its proper divisors (1661379340040).

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

1030113232120 is a wasteful number, since it uses less digits than its factorization.

1030113232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63293 (or 63289 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1030113232120 its reverse (212323110301), we get a palindrome (1242436342421).

The spelling of 1030113232120 in words is "one trillion, thirty billion, one hundred thirteen million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 881 938 1340 1762 1876 2345 2680 3524 3752 4405 4690 6167 7048 8810 9380 12334 17620 18760 24668 30835 35240 49336 59027 61670 62327 118054 123340 124654 236108 246680 249308 295135 311635 413189 436289 472216 498616 590270 623270 826378 872578 1180540 1246540 1652756 1745156 2065945 2181445 2361080 2493080 3305512 3490312 4131890 4175909 4362890 8263780 8351818 8725780 16527560 16703636 17451560 20879545 29231363 33407272 41759090 54910087 58462726 83518180 109820174 116925452 146156815 167036360 219640348 233850904 274550435 292313630 384370609 439280696 549100870 584627260 768741218 1098201740 1169254520 1537482436 1921853045 2196403480 3074964872 3678975829 3843706090 7357951658 7687412180 14715903316 15374824360 18394879145 25752830803 29431806632 36789758290 51505661606 73579516580 103011323212 128764154015 147159033160 206022646424 257528308030 515056616060 1030113232120