Search a number
-
+
99002021202 = 23371757726701
BaseRepresentation
bin101110000110011111…
…0101111010101010010
3100110112121202202201000
41130030332233111102
53110224004134302
6113251512522430
710103235203220
oct1341476572522
9313477682630
1099002021202
1138a94072937
121722b6b0416
139449b2c546
144b126bbb10
15289680731c
hex170cfaf552

99002021202 has 128 divisors (see below), whose sum is σ = 266695303680. Its totient is φ = 26575257600.

The previous prime is 99002021189. The next prime is 99002021203. The reversal of 99002021202 is 20212020099.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (99002021203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3694452 + ... + 3721152.

It is an arithmetic number, because the mean of its divisors is an integer number (2083557060).

Almost surely, 299002021202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99002021202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133347651840).

99002021202 is an abundant number, since it is smaller than the sum of its proper divisors (167693282478).

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

99002021202 is a wasteful number, since it uses less digits than its factorization.

99002021202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27313 (or 27307 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 99002021202 in words is "ninety-nine billion, two million, twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 577 714 918 1071 1154 1731 2142 3213 3462 4039 5193 6426 8078 9809 10386 12117 15579 19618 24234 26701 29427 31158 36351 53402 58854 68663 72702 80103 88281 109053 137326 160206 176562 186907 205989 218106 240309 264843 373814 411978 453917 480618 529686 560721 617967 720927 907834 1121442 1235934 1361751 1441854 1682163 1853901 2723502 3177419 3364326 3707802 4085253 5046489 6354838 8170506 9532257 10092978 12255759 15406477 19064514 24511518 28596771 30812954 46219431 57193542 85790313 92438862 107845339 138658293 171580626 215690678 261910109 277316586 323536017 415974879 523820218 647072034 785730327 831949758 970608051 1571460654 1833370763 1941216102 2357190981 2911824153 3666741526 4714381962 5500112289 5823648306 7071572943 11000224578 14143145886 16500336867 33000673734 49501010601 99002021202