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141010405101300 = 223527227295805339
BaseRepresentation
bin100000000011111110001011…
…000110110000111011110100
3200111021110111120200212201110
4200003332023012300323310
5121440303302201220200
61215523141422555020
741462444201656320
oct4003761306607364
9614243446625643
10141010405101300
1140a261a4600809
1213994917438a70
13608b2bb5a2bc7
1426b6d235c8980
15114800e480b50
hex803f8b1b0ef4

141010405101300 has 144 divisors (see below), whose sum is σ = 468328480058880. Its totient is φ = 32088963066240.

The previous prime is 141010405101271. The next prime is 141010405101301. The reversal of 141010405101300 is 3101504010141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141010405101301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147425970 + ... + 148379369.

It is an arithmetic number, because the mean of its divisors is an integer number (3252281111520).

Almost surely, 2141010405101300 is an apocalyptic number.

141010405101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141010405101300 is an abundant number, since it is smaller than the sum of its proper divisors (327318074957580).

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

141010405101300 is a wasteful number, since it uses less digits than its factorization.

141010405101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295805590 (or 295805583 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 141010405101300 its reverse (3101504010141), we get a palindrome (144111909111441).

The spelling of 141010405101300 in words is "one hundred forty-one trillion, ten billion, four hundred five million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 227 300 350 420 454 525 681 700 908 1050 1135 1362 1589 2100 2270 2724 3178 3405 4540 4767 5675 6356 6810 7945 9534 11350 13620 15890 17025 19068 22700 23835 31780 34050 39725 47670 68100 79450 95340 119175 158900 238350 476700 295805339 591610678 887416017 1183221356 1479026695 1774832034 2070637373 2958053390 3549664068 4141274746 4437080085 5916106780 6211912119 7395133475 8282549492 8874160170 10353186865 12423824238 14790266950 17748320340 20706373730 22185400425 24847648476 29580533900 31059560595 41412747460 44370800850 51765934325 62119121190 67147811953 88741601700 103531868650 124238242380 134295623906 155297802975 201443435859 207063737300 268591247812 310595605950 335739059765 402886871718 470034683671 621191211900 671478119530 805773743436 940069367342 1007217179295 1342956239060 1410104051013 1678695298825 1880138734684 2014434358590 2350173418355 2820208102026 3357390597650 4028868717180 4700346836710 5036085896475 5640416204052 6714781195300 7050520255065 9400693673420 10072171792950 11750867091775 14101040510130 20144343585900 23501734183550 28202081020260 35252601275325 47003468367100 70505202550650 141010405101300