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2230121303010 = 2325374993134129
BaseRepresentation
bin100000011100111101100…
…101101000101111100010
321220012022222200021021200
4200130331211220233202
5243014242023144020
64424300435102030
7320056325210016
oct40347545505742
97805288607250
102230121303010
1178a875377837
12300267141916
131323b810a663
1479d1d154546
153d025a3c590
hex2073d968be2

2230121303010 has 96 divisors (see below), whose sum is σ = 5956263696240. Its totient is φ = 578505867264.

The previous prime is 2230121302921. The next prime is 2230121303021. The reversal of 2230121303010 is 103031210322.

2230121303010 is a `hidden beast` number, since 2 + 230 + 1 + 2 + 130 + 301 + 0 = 666.

2230121303010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1239724138041 + 990397164969 = 1113429^2 + 995187^2 .

It is a super-2 number, since 2×22301213030102 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16559626 + ... + 16693754.

Almost surely, 22230121303010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230121303010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978131848120).

2230121303010 is an abundant number, since it is smaller than the sum of its proper divisors (3726142393230).

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

2230121303010 is a wasteful number, since it uses less digits than its factorization.

2230121303010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139172 (or 139169 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2230121303010 its reverse (103031210322), we get a palindrome (2333152513332).

The spelling of 2230121303010 in words is "two trillion, two hundred thirty billion, one hundred twenty-one million, three hundred three thousand, ten".

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 4993 9986 14979 24965 29958 44937 49930 74895 89874 134129 149790 184741 224685 268258 369482 402387 449370 554223 670645 804774 923705 1108446 1207161 1341290 1662669 1847410 2011935 2414322 2771115 3325338 4023870 4962773 5542230 6035805 8313345 9925546 12071610 14888319 16626690 24813865 29776638 44664957 49627730 74441595 89329914 148883190 223324785 446649570 669706097 1339412194 2009118291 3348530485 4018236582 6027354873 6697060970 10045591455 12054709746 20091182910 24779125589 30136774365 49558251178 60273548730 74337376767 123895627945 148674753534 223012130301 247791255890 371686883835 446024260602 743373767670 1115060651505 2230121303010