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4242011202 = 2331113242257
BaseRepresentation
bin1111110011010111…
…1111010001000010
3101221122002111102000
43330311333101002
532141423324302
61540533004430
7210056333412
oct37465772102
911848074360
104242011202
111887560890
129a4783716
13527ac7b00
142c3550642
1519c62c31c
hexfcd7f442

4242011202 has 96 divisors (see below), whose sum is σ = 11135828160. Its totient is φ = 1186548480.

The previous prime is 4242011197. The next prime is 4242011203. The reversal of 4242011202 is 2021102424.

4242011202 is a `hidden beast` number, since 42 + 420 + 1 + 1 + 202 = 666.

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 (4242011203) 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 47 ways as a sum of consecutive naturals, for example, 79258 + ... + 121514.

It is an arithmetic number, because the mean of its divisors is an integer number (115998210).

Almost surely, 24242011202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567914080).

4242011202 is an abundant number, since it is smaller than the sum of its proper divisors (6893816958).

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

4242011202 is a wasteful number, since it uses less digits than its factorization.

4242011202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42305 (or 42286 counting only the distinct ones).

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

The square root of 4242011202 is about 65130.7239480723. The cubic root of 4242011202 is about 1618.7903383914.

Adding to 4242011202 its reverse (2021102424), we get a palindrome (6263113626).

The spelling of 4242011202 in words is "four billion, two hundred forty-two million, eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 169 198 234 286 297 338 351 429 507 594 702 858 1014 1287 1521 1859 2574 3042 3718 3861 4563 5577 7722 9126 11154 16731 33462 42257 50193 84514 100386 126771 253542 380313 464827 549341 760626 929654 1098682 1140939 1394481 1648023 2281878 2788962 3296046 4183443 4944069 6042751 7141433 8366886 9888138 12085502 12550329 14282866 14832207 18128253 21424299 25100658 29664414 36256506 42848598 54384759 64272897 78555763 108769518 128545794 157111526 163154277 192818691 235667289 326308554 385637382 471334578 707001867 1414003734 2121005601 4242011202