Search a number
-
+
1032031023320 = 2351119373336451
BaseRepresentation
bin11110000010010011101…
…01111011000011011000
310122122212000110000002002
433001021311323003120
5113402044420221240
62110035234300132
7134363455646453
oct17011165730330
93578760400062
101032031023320
113687556758a0
12148021127648
137642137a98b
1437d4450449a
151bca382ed15
hexf049d7b0d8

1032031023320 has 128 divisors (see below), whose sum is σ = 2738559801600. Its totient is φ = 345923136000.

The previous prime is 1032031023299. The next prime is 1032031023341. The reversal of 1032031023320 is 233201302301.

1032031023320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1032031023299) and next prime (1032031023341).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1032031023292 and 1032031023301.

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, 1358906 + ... + 1977545.

It is an arithmetic number, because the mean of its divisors is an integer number (21394998450).

Almost surely, 21032031023320 is an apocalyptic number.

1032031023320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032031023320 is an abundant number, since it is smaller than the sum of its proper divisors (1706528778280).

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

1032031023320 is a wasteful number, since it uses less digits than its factorization.

1032031023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336529 (or 3336525 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1032031023320 its reverse (233201302301), we get a palindrome (1265232325621).

The spelling of 1032031023320 in words is "one trillion, thirty-two billion, thirty-one million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 37 38 40 44 55 74 76 88 95 110 148 152 185 190 209 220 296 370 380 407 418 440 703 740 760 814 836 1045 1406 1480 1628 1672 2035 2090 2812 3256 3515 4070 4180 5624 7030 7733 8140 8360 14060 15466 16280 28120 30932 38665 61864 77330 154660 309320 3336451 6672902 13345804 16682255 26691608 33364510 36700961 63392569 66729020 73401922 123448687 126785138 133458040 146803844 183504805 246897374 253570276 293607688 316962845 367009610 493794748 507140552 617243435 633925690 697318259 734019220 987589496 1234486870 1267851380 1357935557 1394636518 1468038440 2345525053 2468973740 2535702760 2715871114 2789273036 3486591295 4691050106 4937947480 5431742228 5578546072 6789677785 6973182590 9382100212 10863484456 11727625265 13579355570 13946365180 18764200424 23455250530 25800775583 27158711140 27892730360 46910501060 51601551166 54317422280 93821002120 103203102332 129003877915 206406204664 258007755830 516015511660 1032031023320