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1030133103200 = 25524767340709
BaseRepresentation
bin11101111110110001011…
…01111011101001100000
310122110221202011200010022
432333120231323221200
5113334203033300300
62105123035253012
7134265441621605
oct16773055735140
93573852150108
101030133103200
11367971310373
121477915aa168
13761ab0c4a16
1437c0441c6ac
151bbe1dd3285
hexefd8b7ba60

1030133103200 has 144 divisors (see below), whose sum is σ = 2572198493760. Its totient is φ = 402677022720.

The previous prime is 1030133103187. The next prime is 1030133103277. The reversal of 1030133103200 is 23013310301.

It is a super-2 number, since 2×10301331032002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25284446 + ... + 25325154.

It is an arithmetic number, because the mean of its divisors is an integer number (17862489540).

Almost surely, 21030133103200 is an apocalyptic number.

1030133103200 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 1030133103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286099246880).

1030133103200 is an abundant number, since it is smaller than the sum of its proper divisors (1542065390560).

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

1030133103200 is a wasteful number, since it uses less digits than its factorization.

1030133103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41449 (or 41436 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1030133103200 its reverse (23013310301), we get a palindrome (1053146413501).

The spelling of 1030133103200 in words is "one trillion, thirty billion, one hundred thirty-three million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 673 752 800 940 1175 1346 1504 1880 2350 2692 3365 3760 4700 5384 6730 7520 9400 10768 13460 16825 18800 21536 26920 31631 33650 37600 40709 53840 63262 67300 81418 107680 126524 134600 158155 162836 203545 253048 269200 316310 325672 407090 506096 538400 632620 651344 790775 814180 1012192 1017725 1265240 1302688 1581550 1628360 1913323 2035450 2530480 3163100 3256720 3826646 4070900 5060960 6326200 6513440 7653292 8141800 9566615 12652400 15306584 16283600 19133230 25304800 27397157 30613168 32567200 38266460 47833075 54794314 61226336 76532920 95666150 109588628 136985785 153065840 191332300 219177256 273971570 306131680 382664600 438354512 547943140 684928925 765329200 876709024 1095886280 1287666379 1369857850 1530658400 2191772560 2575332758 2739715700 4383545120 5150665516 5479431400 6438331895 10301331032 10958862800 12876663790 20602662064 21917725600 25753327580 32191659475 41205324128 51506655160 64383318950 103013310320 128766637900 206026620640 257533275800 515066551600 1030133103200