Search a number
-
+
1030233103320 = 2335531071513891
BaseRepresentation
bin11101111110111101010…
…11011001101111011000
310122111012201100012111110
432333132223121233120
5113334404133301240
62105141010500320
7134301064614261
oct16773653315730
93574181305443
101030233103320
11367a128019a3
121477bab946a0
13761c5a385a5
1437c1380d968
151bbeaa87c80
hexefdead9bd8

1030233103320 has 128 divisors (see below), whose sum is σ = 3178446531840. Its totient is φ = 267025973760.

The previous prime is 1030233103307. The next prime is 1030233103343. The reversal of 1030233103320 is 233013320301.

It is a super-2 number, since 2×10302331033202 (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 31 ways as a sum of consecutive naturals, for example, 76426 + ... + 1437465.

It is an arithmetic number, because the mean of its divisors is an integer number (24831613530).

Almost surely, 21030233103320 is an apocalyptic number.

1030233103320 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 1030233103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589223265920).

1030233103320 is an abundant number, since it is smaller than the sum of its proper divisors (2148213428520).

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

1030233103320 is a wasteful number, since it uses less digits than its factorization.

1030233103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514065 (or 1514061 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1030233103320 its reverse (233013320301), we get a palindrome (1263246423621).

The spelling of 1030233103320 in words is "one trillion, thirty billion, two hundred thirty-three million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 107 120 159 212 214 265 318 321 424 428 530 535 636 642 795 856 1060 1070 1272 1284 1590 1605 2120 2140 2568 3180 3210 4280 5671 6360 6420 11342 12840 17013 22684 28355 34026 45368 56710 68052 85065 113420 136104 170130 226840 340260 680520 1513891 3027782 4541673 6055564 7569455 9083346 12111128 15138910 18166692 22708365 30277820 36333384 45416730 60555640 80236223 90833460 160472446 161986337 181666920 240708669 320944892 323972674 401181115 481417338 485959011 641889784 647945348 802362230 809931685 962834676 971918022 1203543345 1295890696 1604724460 1619863370 1925669352 1943836044 2407086690 2429795055 3209448920 3239726740 3887672088 4814173380 4859590110 6479453480 8585275861 9628346760 9719180220 17170551722 19438360440 25755827583 34341103444 42926379305 51511655166 68682206888 85852758610 103023310332 128779137915 171705517220 206046620664 257558275830 343411034440 515116551660 1030233103320