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141010003100 = 225223298325471
BaseRepresentation
bin1000001101010011011…
…0011110010010011100
3111110222020012100112102
42003110312132102130
54302242030044400
6144440141424232
713121234151521
oct2032466362234
9443866170472
10141010003100
115489051a44a
12233b3b6b078
13103b2bc2275
146b79821148
153a0472b9d5
hex20d4d9e49c

141010003100 has 144 divisors (see below), whose sum is σ = 334298603520. Its totient is φ = 51461625600.

The previous prime is 141010003067. The next prime is 141010003111. The reversal of 141010003100 is 1300010141.

It is a super-2 number, since 2×1410100031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 5523365 + ... + 5548835.

It is an arithmetic number, because the mean of its divisors is an integer number (2321518080).

Almost surely, 2141010003100 is an apocalyptic number.

141010003100 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 141010003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167149301760).

141010003100 is an abundant number, since it is smaller than the sum of its proper divisors (193288600420).

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

141010003100 is a wasteful number, since it uses less digits than its factorization.

141010003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25620 (or 25613 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 141010003100 its reverse (1300010141), we get a palindrome (142310013241).

The spelling of 141010003100 in words is "one hundred forty-one billion, ten million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 83 92 100 115 116 145 166 230 290 332 415 460 575 580 667 725 830 1150 1334 1450 1660 1909 2075 2300 2407 2668 2900 3335 3818 4150 4814 6670 7636 8300 9545 9628 12035 13340 16675 19090 24070 25471 33350 38180 47725 48140 50942 55361 60175 66700 95450 101884 110722 120350 127355 190900 221444 240700 254710 276805 509420 553610 585833 636775 738659 1107220 1171666 1273550 1384025 1477318 2114093 2343332 2547100 2768050 2929165 2954636 3693295 4228186 5536100 5858330 7386590 8456372 10570465 11716660 14645825 14773180 16989157 18466475 21140930 29291650 33978314 36932950 42281860 48624139 52852325 58583300 61308697 67956628 73865900 84945785 97248278 105704650 122617394 169891570 194496556 211409300 243120695 245234788 306543485 339783140 424728925 486241390 613086970 849457850 972482780 1215603475 1226173940 1410100031 1532717425 1698915700 2431206950 2820200062 3065434850 4862413900 5640400124 6130869700 7050500155 14101000310 28202000620 35252500775 70505001550 141010003100