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5220142100 = 22522329611283
BaseRepresentation
bin1001101110010010…
…10000110000010100
3111110210121200202022
410313021100300110
541142324021400
62221553432312
7243234322115
oct46711206024
914423550668
105220142100
1122396a8028
12101826b698
13652648ba4
1437740820c
1520843db85
hex137250c14

5220142100 has 144 divisors (see below), whose sum is σ = 12437953920. Its totient is φ = 1895308800.

The previous prime is 5220142093. The next prime is 5220142163. The reversal of 5220142100 is 12410225.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4068059 + ... + 4069341.

It is an arithmetic number, because the mean of its divisors is an integer number (86374680).

Almost surely, 25220142100 is an apocalyptic number.

5220142100 is a gapful number since it is divisible by the number (50) 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 5220142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218976960).

5220142100 is an abundant number, since it is smaller than the sum of its proper divisors (7217811820).

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

5220142100 is a wasteful number, since it uses less digits than its factorization.

5220142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5220142100 is about 72250.5508629519. The cubic root of 5220142100 is about 1734.7122356863.

Adding to 5220142100 its reverse (12410225), we get a palindrome (5232552325).

The spelling of 5220142100 in words is "five billion, two hundred twenty million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 61 92 100 115 116 122 145 230 244 290 305 460 575 580 610 667 725 1150 1220 1283 1334 1403 1450 1525 1769 2300 2566 2668 2806 2900 3050 3335 3538 5132 5612 6100 6415 6670 7015 7076 8845 12830 13340 14030 16675 17690 25660 28060 29509 32075 33350 35075 35380 37207 40687 44225 59018 64150 66700 70150 74414 78263 81374 88450 118036 128300 140300 147545 148828 156526 162748 176900 186035 203435 295090 313052 372070 391315 406870 590180 737725 744140 782630 813740 855761 930175 1017175 1475450 1565260 1711522 1800049 1860350 1956575 2034350 2269627 2950900 3423044 3600098 3720700 3913150 4068700 4278805 4539254 7200196 7826300 8557610 9000245 9078508 11348135 17115220 18000490 21394025 22696270 36000980 42788050 45001225 45392540 52201421 56740675 85576100 90002450 104402842 113481350 180004900 208805684 226962700 261007105 522014210 1044028420 1305035525 2610071050 5220142100