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21002306850030 = 23511283527342649
BaseRepresentation
bin1001100011001111110110…
…00010100000110011101110
32202100210121212122001110210
410301213323002200303232
510223100211023200110
6112400154312243250
74265236512462132
oct461477302406356
982323555561423
1021002306850030
116768034762560
12243247a0a0526
13b9468048259c
14528734bd73c2
152664b8dc3520
hex1319fb0a0cee

21002306850030 has 128 divisors (see below), whose sum is σ = 55193920473600. Its totient is φ = 5072396175360.

The previous prime is 21002306850029. The next prime is 21002306850059. The reversal of 21002306850030 is 3005860320012.

It is a super-2 number, since 2×210023068500302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 21002306850030.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 492424146 + ... + 492466794.

It is an arithmetic number, because the mean of its divisors is an integer number (431202503700).

Almost surely, 221002306850030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002306850030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27596960236800).

21002306850030 is an abundant number, since it is smaller than the sum of its proper divisors (34191613623570).

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

21002306850030 is a wasteful number, since it uses less digits than its factorization.

21002306850030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48226.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 21002306850030 in words is "twenty-one trillion, two billion, three hundred six million, eight hundred fifty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 283 330 566 849 1415 1698 2830 3113 4245 5273 6226 8490 9339 10546 15565 15819 18678 26365 31130 31638 42649 46695 52730 58003 79095 85298 93390 116006 127947 158190 174009 213245 255894 290015 348018 426490 469139 580030 639735 870045 938278 1279470 1407417 1492259 1740090 2345695 2814834 2984518 4476777 4691390 7037085 7461295 8953554 12069667 14074170 14922590 16414849 22383885 24139334 32829698 36209001 44767770 49244547 60348335 72418002 82074245 98489094 120696670 132766337 164148490 181045005 224888177 246222735 265532674 362090010 398299011 449776354 492445470 663831685 674664531 796598022 1124440885 1327663370 1349329062 1991495055 2248881770 2473769947 3373322655 3982990110 4947539894 6746645310 7421309841 12368849735 14842619682 24737699470 37106549205 63643354091 74213098410 127286708182 190930062273 318216770455 381860124546 636433540910 700076895001 954650311365 1400153790002 1909300622730 2100230685003 3500384475005 4200461370006 7000768950010 10501153425015 21002306850030