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1007040210420 = 223578721326561
BaseRepresentation
bin11101010011110000100…
…01100010010111110100
310120021100100211011121010
432221320101202113310
5112444404243213140
62050343342352220
7132520252360566
oct16517021422764
93507310734533
101007040210420
113590a0a44212
1214320788b670
1373c6aa1001a
1436a5346d336
151b2de874880
hexea784625f4

1007040210420 has 48 divisors (see below), whose sum is σ = 2823295583808. Its totient is φ = 268202818560.

The previous prime is 1007040210419. The next prime is 1007040210427. The reversal of 1007040210420 is 240120407001.

It is a happy number.

1007040210420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007040210427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10616061 + ... + 10710500.

It is an arithmetic number, because the mean of its divisors is an integer number (58818657996).

Almost surely, 21007040210420 is an apocalyptic number.

1007040210420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007040210420 is an abundant number, since it is smaller than the sum of its proper divisors (1816255373388).

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

1007040210420 is a wasteful number, since it uses less digits than its factorization.

1007040210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21327360 (or 21327358 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 1007040210420 its reverse (240120407001), we get a palindrome (1247160617421).

The spelling of 1007040210420 in words is "one trillion, seven billion, forty million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 787 1574 2361 3148 3935 4722 7870 9444 11805 15740 23610 47220 21326561 42653122 63979683 85306244 106632805 127959366 213265610 255918732 319898415 426531220 639796830 1279593660 16784003507 33568007014 50352010521 67136014028 83920017535 100704021042 167840035070 201408042084 251760052605 335680070140 503520105210 1007040210420