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10021211200530 = 2335367627116127
BaseRepresentation
bin1001000111010011111010…
…1110111101110000010010
31022111000111102211212212000
42101310332232331300102
52303141420031404110
633151403022414430
72053002645516135
oct221647656756022
938430442755760
1010021211200530
113213a76519a12
12115a217431416
13578cc474975a
1426905a21c21c
15125a1c1ad1c0
hex91d3ebbdc12

10021211200530 has 128 divisors (see below), whose sum is σ = 26801980047360. Its totient is φ = 2664451247040.

The previous prime is 10021211200513. The next prime is 10021211200543. The reversal of 10021211200530 is 3500211212001.

10021211200530 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 12 + 1 + 120 + 0 + 530 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 621385327 + ... + 621401453.

It is an arithmetic number, because the mean of its divisors is an integer number (209390469120).

Almost surely, 210021211200530 is an apocalyptic number.

10021211200530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021211200530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13400990023680).

10021211200530 is an abundant number, since it is smaller than the sum of its proper divisors (16780768846830).

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

10021211200530 is a wasteful number, since it uses less digits than its factorization.

10021211200530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22781 (or 22775 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10021211200530 its reverse (3500211212001), we get a palindrome (13521422412531).

The spelling of 10021211200530 in words is "ten trillion, twenty-one billion, two hundred eleven million, two hundred thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 367 734 1101 1835 2202 3303 3670 5505 6271 6606 9909 11010 12542 16127 16515 18813 19818 31355 32254 33030 37626 48381 49545 56439 62710 80635 94065 96762 99090 112878 145143 161270 169317 188130 241905 282195 290286 338634 435429 483810 564390 725715 846585 870858 1451430 1693170 2177145 2301457 4354290 4602914 5918609 6904371 11507285 11837218 13808742 17755827 20713113 23014570 29593045 34521855 35511654 41426226 53267481 59186090 62139339 69043710 88779135 101132417 103565565 106534962 124278678 159802443 177558270 202264834 207131130 266337405 303397251 310696695 319604886 505662085 532674810 606794502 621393390 799012215 910191753 1011324170 1516986255 1598024430 1820383506 2730575259 3033972510 4550958765 5461150518 9101917530 13652876295 27305752590 37115597039 74231194078 111346791117 185577985195 222693582234 334040373351 371155970390 556733955585 668080746702 1002121120053 1113467911170 1670201866755 2004242240106 3340403733510 5010605600265 10021211200530