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2101231240040 = 235412112327827
BaseRepresentation
bin11110100100111011001…
…001000100001101101000
321102212122102021200000202
4132210323021010031220
5233411310144140130
64245143045451332
7304544316563462
oct36447311041550
97385572250022
102101231240040
1174014428a839
1229b296110b48
131231b71857ca
14739b3253132
15399d0374145
hex1e93b244368

2101231240040 has 96 divisors (see below), whose sum is σ = 4850383667040. Its totient is φ = 819233057280.

The previous prime is 2101231240019. The next prime is 2101231240049. The reversal of 2101231240040 is 400421321012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2101231239994 and 2101231240021.

It is not an unprimeable number, because it can be changed into a prime (2101231240049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75496607 + ... + 75524433.

It is an arithmetic number, because the mean of its divisors is an integer number (50524829865).

Almost surely, 22101231240040 is an apocalyptic number.

2101231240040 is a gapful number since it is divisible by the number (20) 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 2101231240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425191833520).

2101231240040 is an abundant number, since it is smaller than the sum of its proper divisors (2749152427000).

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

2101231240040 is a wasteful number, since it uses less digits than its factorization.

2101231240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29043 (or 28998 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2101231240040 its reverse (400421321012), we get a palindrome (2501652561052).

The spelling of 2101231240040 in words is "two trillion, one hundred one billion, two hundred thirty-one million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1123 1640 1681 2246 3362 4492 5615 6724 8405 8984 11230 13448 16810 22460 27827 33620 44920 46043 55654 67240 92086 111308 139135 184172 222616 230215 278270 368344 460430 556540 920860 1113080 1140907 1841720 1887763 2281814 3775526 4563628 5704535 7551052 9127256 9438815 11409070 15102104 18877630 22818140 31249721 37755260 45636280 46777187 62499442 75510520 93554374 124998884 156248605 187108748 233885935 249997768 312497210 374217496 467771870 624994420 935543740 1249988840 1281238561 1871087480 2562477122 5124954244 6406192805 10249908488 12812385610 25624771220 51249542440 52530781001 105061562002 210123124004 262653905005 420246248008 525307810010 1050615620020 2101231240040