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10144310310 = 2325232713001
BaseRepresentation
bin10010111001010010…
…11110010000100110
3222011222022100122200
421130221132100212
5131233420412220
64354335435330
7506246133501
oct113451362046
928158270580
1010144310310
114336220532
121b71385b46
13c588766a4
146c33aa138
153e58b6890
hex25ca5e426

10144310310 has 144 divisors (see below), whose sum is σ = 27969465888. Its totient is φ = 2550240000.

The previous prime is 10144310269. The next prime is 10144310321. The reversal of 10144310310 is 1301344101.

10144310310 is a `hidden beast` number, since 1 + 0 + 1 + 44 + 310 + 310 = 666.

It is a super-2 number, since 2×101443103102 (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 3378810 + ... + 3381810.

It is an arithmetic number, because the mean of its divisors is an integer number (194232402).

Almost surely, 210144310310 is an apocalyptic number.

10144310310 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 10144310310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984732944).

10144310310 is an abundant number, since it is smaller than the sum of its proper divisors (17825155578).

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

10144310310 is a wasteful number, since it uses less digits than its factorization.

10144310310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10144310310 its reverse (1301344101), we get a palindrome (11445654411).

The spelling of 10144310310 in words is "ten billion, one hundred forty-four million, three hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 71 90 115 138 142 207 213 230 345 355 414 426 529 639 690 710 1035 1058 1065 1278 1587 1633 2070 2130 2645 3001 3174 3195 3266 4761 4899 5290 6002 6390 7935 8165 9003 9522 9798 14697 15005 15870 16330 18006 23805 24495 27009 29394 30010 37559 45015 47610 48990 54018 69023 73485 75118 90030 112677 135045 138046 146970 187795 207069 213071 225354 270090 338031 345115 375590 414138 426142 563385 621207 639213 676062 690230 1035345 1065355 1126770 1242414 1278426 1587529 1690155 1917639 2070690 2130710 3106035 3175058 3196065 3380310 3835278 4762587 4900633 6212070 6392130 7937645 9525174 9588195 9801266 14287761 14701899 15875290 19176390 23812935 24503165 28575522 29403798 44105697 47625870 49006330 71438805 73509495 88211394 112714559 142877610 147018990 220528485 225429118 338143677 441056970 563572795 676287354 1014431031 1127145590 1690718385 2028862062 3381436770 5072155155 10144310310