Search a number
-
+
10201011143310 = 23351327710491953
BaseRepresentation
bin1001010001110001101110…
…1001010100001010001110
31100010012121000011100012000
42110130123221110022032
52314113132323041220
633410140235253130
72101666365023061
oct224343351241216
940105530140160
1010201011143310
11328325193a149
121189035baa1a6
1358cc49ab6940
14273a3561c8d8
1512a54204a390
hex9471ba5428e

10201011143310 has 128 divisors (see below), whose sum is σ = 29400973176960. Its totient is φ = 2501952841728.

The previous prime is 10201011143299. The next prime is 10201011143359. The reversal of 10201011143310 is 1334111010201.

It is a happy number.

10201011143310 is a `hidden beast` number, since 1 + 0 + 201 + 0 + 11 + 143 + 310 = 666.

It is a super-3 number, since 3×102010111433103 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4273707 + ... + 6218246.

It is an arithmetic number, because the mean of its divisors is an integer number (229695102945).

Almost surely, 210201011143310 is an apocalyptic number.

10201011143310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201011143310 is an abundant number, since it is smaller than the sum of its proper divisors (19199962033650).

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

10201011143310 is a wasteful number, since it uses less digits than its factorization.

10201011143310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10492259 (or 10492253 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10201011143310 its reverse (1334111010201), we get a palindrome (11535122153511).

The spelling of 10201011143310 in words is "ten trillion, two hundred one billion, eleven million, one hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 277 351 390 554 585 702 831 1170 1385 1662 1755 2493 2770 3510 3601 4155 4986 7202 7479 8310 10803 12465 14958 18005 21606 24930 32409 36010 37395 54015 64818 74790 97227 108030 162045 194454 324090 486135 972270 10491953 20983906 31475859 52459765 62951718 94427577 104919530 136395389 157379295 188855154 272790778 283282731 314758590 409186167 472137885 566565462 681976945 818372334 944275770 1227558501 1363953890 1416413655 2045930835 2455117002 2832827310 2906270981 3682675503 4091861670 5812541962 6137792505 7365351006 8718812943 12275585010 14531354905 17437625886 18413377515 26156438829 29062709810 36826755030 37781522753 43594064715 52312877658 75563045506 78469316487 87188129430 113344568259 130782194145 156938632974 188907613765 226689136518 261564388290 340033704777 377815227530 392346582435 566722841295 680067409554 784693164870 1020101114331 1133445682590 1700168523885 2040202228662 3400337047770 5100505571655 10201011143310