Search a number
-
+
10033210231220 = 22511219990122039
BaseRepresentation
bin1001001000000000100111…
…1011101000100110110100
31022112011110200010210120002
42102000021323220212310
52303341003304344340
633201105415330432
72053606205554661
oct222001173504664
938464420123502
1010033210231220
113219073679300
121160605980a18
1357a187632007
14269877a66a68
15125ec07db715
hex92009ee89b4

10033210231220 has 144 divisors (see below), whose sum is σ = 24381781737600. Its totient is φ = 3455911008000.

The previous prime is 10033210231211. The next prime is 10033210231229. The reversal of 10033210231220 is 2213201233001.

It is an interprime number because it is at equal distance from previous prime (10033210231211) and next prime (10033210231229).

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 = 10033210231192 and 10033210231201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033210231229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455236961 + ... + 455258999.

Almost surely, 210033210231220 is an apocalyptic number.

10033210231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033210231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190890868800).

10033210231220 is an abundant number, since it is smaller than the sum of its proper divisors (14348571506380).

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

10033210231220 is a wasteful number, since it uses less digits than its factorization.

10033210231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31990 (or 31977 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10033210231220 its reverse (2213201233001), we get a palindrome (12246411464221).

The spelling of 10033210231220 in words is "ten trillion, thirty-three billion, two hundred ten million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 380 418 484 605 836 1045 1210 2090 2299 2420 4180 4598 9196 9901 11495 19802 22039 22990 39604 44078 45980 49505 88156 99010 108911 110195 188119 198020 217822 220390 242429 376238 418741 435644 440780 484858 544555 752476 837482 940595 969716 1089110 1198021 1212145 1674964 1881190 2069309 2093705 2178220 2396042 2424290 2666719 3762380 4138618 4187410 4606151 4792084 4848580 5333438 5990105 8277236 8374820 9212302 10346545 10666876 11980210 13333595 18424604 20693090 22762399 23030755 23960420 26667190 41386180 45524798 46061510 50667661 53334380 91049596 92123020 101335322 113811995 202670644 218208139 227623990 253338305 436416278 455247980 506676610 872832556 1013353220 1091040695 2182081390 2400289529 4145954641 4364162780 4800579058 8291909282 9601158116 12001447645 16583818564 20729773205 24002895290 26403184819 41459546410 45605501051 48005790580 52806369638 82919092820 91211002102 105612739276 132015924095 182422004204 228027505255 264031848190 456055010510 501660511561 528063696380 912110021020 1003321023122 2006642046244 2508302557805 5016605115610 10033210231220