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1213011241040 = 24559271948317
BaseRepresentation
bin10001101001101101000…
…110101010100001010000
311021221222211122122020202
4101221231012222201100
5124333221334203130
62325125532354332
7153431356266254
oct21515506524120
94257884578222
101213011241040
1142848724a065
1217710b0159a8
138a5040c40c1
14429d257c264
152184710d145
hex11a6d1aa850

1213011241040 has 80 divisors (see below), whose sum is σ = 2878638255360. Its totient is φ = 475220113920.

The previous prime is 1213011241003. The next prime is 1213011241049. The reversal of 1213011241040 is 401421103121.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213011241049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804962 + ... + 1753278.

It is an arithmetic number, because the mean of its divisors is an integer number (35982978192).

Almost surely, 21213011241040 is an apocalyptic number.

1213011241040 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 1213011241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439319127680).

1213011241040 is an abundant number, since it is smaller than the sum of its proper divisors (1665627014320).

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

1213011241040 is a wasteful number, since it uses less digits than its factorization.

1213011241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948660 (or 948654 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1213011241040 its reverse (401421103121), we get a palindrome (1614432344161).

The spelling of 1213011241040 in words is "one trillion, two hundred thirteen billion, eleven million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 271 295 472 542 590 944 1084 1180 1355 2168 2360 2710 4336 4720 5420 10840 15989 21680 31978 63956 79945 127912 159890 255824 319780 639560 948317 1279120 1896634 3793268 4741585 7586536 9483170 15173072 18966340 37932680 55950703 75865360 111901406 223802812 256993907 279753515 447605624 513987814 559507030 895211248 1027975628 1119014060 1284969535 2055951256 2238028120 2569939070 4111902512 4476056240 5139878140 10279756280 15162640513 20559512560 30325281026 60650562052 75813202565 121301124104 151626405130 242602248208 303252810260 606505620520 1213011241040