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1002240102042 = 232971135079829
BaseRepresentation
bin11101001010110100010…
…10100100111010011010
310112210221211120101210100
432211122022210322122
5112410041431231132
62044231151400230
7132260305206534
oct16453212447232
93483854511710
101002240102042
113570584557a3
121422a8223076
13736843cb2ca
1436719b62854
151b10d25537c
hexe95a2a4e9a

1002240102042 has 48 divisors (see below), whose sum is σ = 2213322569640. Its totient is φ = 327709863936.

The previous prime is 1002240102029. The next prime is 1002240102043. The reversal of 1002240102042 is 2402010422001.

1002240102042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 774187054641 + 228053047401 = 879879^2 + 477549^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1002240102043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2342617 + ... + 2737212.

Almost surely, 21002240102042 is an apocalyptic number.

1002240102042 is an abundant number, since it is smaller than the sum of its proper divisors (1211082467598).

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

1002240102042 is a wasteful number, since it uses less digits than its factorization.

1002240102042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080047 (or 5080044 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1002240102042 its reverse (2402010422001), we get a palindrome (3404250524043).

The spelling of 1002240102042 in words is "one trillion, two billion, two hundred forty million, one hundred two thousand, forty-two".

Divisors: 1 2 3 6 9 18 97 113 194 226 291 339 582 678 873 1017 1746 2034 10961 21922 32883 65766 98649 197298 5079829 10159658 15239487 30478974 45718461 91436922 492743413 574020677 985486826 1148041354 1478230239 1722062031 2956460478 3444124062 4434690717 5166186093 8869381434 10332372186 55680005669 111360011338 167040017007 334080034014 501120051021 1002240102042