Search a number
-
+
10313223222000 = 243532816116977
BaseRepresentation
bin1001011000010011110000…
…0000011011001011110000
31100111221020020222120001110
42112010330000123023300
52322432440121101000
633533455045433320
72113051166660406
oct226047400331360
940457206876043
1010313223222000
1133168a4709766
1211a693170b840
1359a6c0683c3a
1427923c505476
1512d40d448850
hex9613c01b2f0

10313223222000 has 160 divisors (see below), whose sum is σ = 33368163925824. Its totient is φ = 2740405248000.

The previous prime is 10313223221989. The next prime is 10313223222013. The reversal of 10313223222000 is 22232231301.

Adding to 10313223222000 its reverse (22232231301), we get a palindrome (10335455453301).

It is a happy number.

It is a super-2 number, since 2×103132232220002 (a number of 27 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, 1372489 + ... + 4744488.

Almost surely, 210313223222000 is an apocalyptic number.

10313223222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10313223222000 is an abundant number, since it is smaller than the sum of its proper divisors (23054940703824).

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

10313223222000 is a wasteful number, since it uses less digits than its factorization.

10313223222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6117284 (or 6117268 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The spelling of 10313223222000 in words is "ten trillion, three hundred thirteen billion, two hundred twenty-three million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 281 300 375 400 500 562 600 750 843 1000 1124 1200 1405 1500 1686 2000 2248 2810 3000 3372 4215 4496 5620 6000 6744 7025 8430 11240 13488 14050 16860 21075 22480 28100 33720 35125 42150 56200 67440 70250 84300 105375 112400 140500 168600 210750 281000 337200 421500 562000 843000 1686000 6116977 12233954 18350931 24467908 30584885 36701862 48935816 61169770 73403724 91754655 97871632 122339540 146807448 152924425 183509310 244679080 293614896 305848850 367018620 458773275 489358160 611697700 734037240 764622125 917546550 1223395400 1468074480 1529244250 1718870537 1835093100 2293866375 2446790800 3058488500 3437741074 3670186200 4587732750 5156611611 6116977000 6875482148 7340372400 8594352685 9175465500 10313223222 12233954000 13750964296 17188705370 18350931000 20626446444 25783058055 27501928592 34377410740 36701862000 41252892888 42971763425 51566116110 68754821480 82505785776 85943526850 103132232220 128915290275 137509642960 171887053700 206264464440 214858817125 257830580550 343774107400 412528928880 429717634250 515661161100 644576451375 687548214800 859435268500 1031322322200 1289152902750 1718870537000 2062644644400 2578305805500 3437741074000 5156611611000 10313223222000