Search a number
-
+
31121032120020 = 22335234124618343
BaseRepresentation
bin1110001001101111011100…
…00100001000011011010100
311002012010211020101220222000
413010313232010020123110
513034341333210320040
6150104445500035300
76361264121240013
oct704675604103324
9132163736356860
1031121032120020
119a093a0343117
1235a756a832b30
13144991569724b
147983a1c48a7a
1538e7e1e1e130
hex1c4dee1086d4

31121032120020 has 96 divisors (see below), whose sum is σ = 96862351568640. Its totient is φ = 8295396520320.

The previous prime is 31121032119971. The next prime is 31121032120117. The reversal of 31121032120020 is 2002123012113.

31121032120020 is a `hidden beast` number, since 3 + 1 + 121 + 0 + 321 + 200 + 20 = 666.

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 = 31121032119975 and 31121032120002.

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, 11045032 + ... + 13573311.

It is an arithmetic number, because the mean of its divisors is an integer number (1008982828840).

Almost surely, 231121032120020 is an apocalyptic number.

31121032120020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31121032120020 is an abundant number, since it is smaller than the sum of its proper divisors (65741319448620).

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

31121032120020 is a wasteful number, since it uses less digits than its factorization.

31121032120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24620702 (or 24620694 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31121032120020 its reverse (2002123012113), we get a palindrome (33123155132133).

The spelling of 31121032120020 in words is "thirty-one trillion, one hundred twenty-one billion, thirty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2341 4682 7023 9364 11705 14046 21069 23410 28092 35115 42138 46820 63207 70230 84276 105345 126414 140460 210690 252828 316035 421380 632070 1264140 24618343 49236686 73855029 98473372 123091715 147710058 221565087 246183430 295420116 369275145 443130174 492366860 664695261 738550290 886260348 1107825435 1329390522 1477100580 2215650870 2658781044 3323476305 4431301740 6646952610 13293905220 57631540963 115263081926 172894622889 230526163852 288157704815 345789245778 518683868667 576315409630 691578491556 864473114445 1037367737334 1152630819260 1556051606001 1728946228890 2074735474668 2593419343335 3112103212002 3457892457780 5186838686670 6224206424004 7780258030005 10373677373340 15560516060010 31121032120020