Search a number
-
+
1030131220320 = 25335238456301
BaseRepresentation
bin11101111110110001001…
…10101111111101100000
310122110221121122000022000
432333120212233331200
5113334202043022240
62105122531044000
7134265416620266
oct16773046577540
93573847560260
101030131220320
11367970244774
12147790a40600
13761aa8b59a7
1437c0408c436
151bbe1b60430
hexefd89aff60

1030131220320 has 96 divisors (see below), whose sum is σ = 3605459286240. Its totient is φ = 274701657600.

The previous prime is 1030131220303. The next prime is 1030131220373. The reversal of 1030131220320 is 230221310301.

1030131220320 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 312 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10301312203202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030131220293 and 1030131220302.

It is a congruent number.

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, 119223831 + ... + 119232470.

It is an arithmetic number, because the mean of its divisors is an integer number (37556867565).

Almost surely, 21030131220320 is an apocalyptic number.

1030131220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030131220320 is an abundant number, since it is smaller than the sum of its proper divisors (2575328065920).

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

1030131220320 is a wasteful number, since it uses less digits than its factorization.

1030131220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238456325 (or 238456311 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1030131220320 its reverse (230221310301), we get a palindrome (1260352530621).

The spelling of 1030131220320 in words is "one trillion, thirty billion, one hundred thirty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 238456301 476912602 715368903 953825204 1192281505 1430737806 1907650408 2146106709 2384563010 2861475612 3576844515 3815300816 4292213418 4769126020 5722951224 6438320127 7153689030 7630601632 8584426836 9538252040 10730533545 11445902448 12876640254 14307378060 17168853672 19076504080 21461067090 22891804896 25753280508 28614756120 32191600635 34337707344 38153008160 42922134180 51506561016 57229512240 64383201270 68675414688 85844268360 103013122032 114459024480 128766402540 171688536720 206026244064 257532805080 343377073440 515065610160 1030131220320