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101003332230 = 23253734138887
BaseRepresentation
bin101111000010001000…
…1001000101010000110
3100122201002120220022200
41132010101020222012
53123323323112410
6114222243535330
710203646105233
oct1360421105206
9318632526280
10101003332230
1139920825499
12176a998a546
1396a8645558
144c623d878a
1529623783c0
hex1784448a86

101003332230 has 96 divisors (see below), whose sum is σ = 269815575744. Its totient is φ = 26195643648.

The previous prime is 101003332219. The next prime is 101003332231. The reversal of 101003332230 is 32233300101.

101003332230 is a `hidden beast` number, since 1 + 0 + 100 + 3 + 332 + 230 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003332231) 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, 11360847 + ... + 11369733.

It is an arithmetic number, because the mean of its divisors is an integer number (2810578914).

Almost surely, 2101003332230 is an apocalyptic number.

101003332230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101003332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134907787872).

101003332230 is an abundant number, since it is smaller than the sum of its proper divisors (168812243514).

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

101003332230 is a wasteful number, since it uses less digits than its factorization.

101003332230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12350 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 101003332230 its reverse (32233300101), we get a palindrome (133236632331).

The spelling of 101003332230 in words is "one hundred one billion, three million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3413 6826 8887 10239 17065 17774 20478 26661 30717 34130 44435 51195 53322 61434 79983 88870 102390 126281 133305 153585 159966 252562 266610 307170 328819 378843 399915 631405 657638 757686 799830 986457 1136529 1262810 1644095 1894215 1972914 2273058 2959371 3288190 3788430 4932285 5682645 5918742 9864570 11365290 14796855 29593710 30331331 60662662 90993993 151656655 181987986 272981979 303313310 454969965 545963958 909939930 1122259247 1364909895 2244518494 2729819790 3366777741 5611296235 6733555482 10100333223 11222592470 16833888705 20200666446 33667777410 50501666115 101003332230