Search a number
-
+
302011320030 = 235712713782657
BaseRepresentation
bin1000110010100010100…
…01110000011011011110
31001212112200120200010120
410121101101300123132
514422004344220110
6350424142415410
730551056602210
oct4312121603336
91055480520116
10302011320030
1110709a575862
124a646b91566
132263073a5c4
14108903065b0
157cc905a870
hex46514706de

302011320030 has 128 divisors (see below), whose sum is σ = 841000845312. Its totient is φ = 67986874368.

The previous prime is 302011319993. The next prime is 302011320041. The reversal of 302011320030 is 30023110203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 302011319991 and 302011320009.

It is a congruent 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, 3612462 + ... + 3695118.

It is an arithmetic number, because the mean of its divisors is an integer number (6570319104).

Almost surely, 2302011320030 is an apocalyptic number.

302011320030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 302011320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420500422656).

302011320030 is an abundant number, since it is smaller than the sum of its proper divisors (538989525282).

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

302011320030 is a wasteful number, since it uses less digits than its factorization.

302011320030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82938.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 302011320030 its reverse (30023110203), we get a palindrome (332034430233).

The spelling of 302011320030 in words is "three hundred two billion, eleven million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 137 210 254 274 381 411 635 685 762 822 889 959 1270 1370 1778 1905 1918 2055 2667 2877 3810 4110 4445 4795 5334 5754 8890 9590 13335 14385 17399 26670 28770 34798 52197 82657 86995 104394 121793 165314 173990 243586 247971 260985 365379 413285 495942 521970 578599 608965 730758 826570 1157198 1217930 1239855 1735797 1826895 2479710 2892995 3471594 3653790 5785990 8678985 10497439 11324009 17357970 20994878 22648018 31492317 33972027 52487195 56620045 62984634 67944054 73482073 79268063 104974390 113240090 146964146 157461585 158536126 169860135 220446219 237804189 314923170 339720270 367410365 396340315 440892438 475608378 734820730 792680630 1102231095 1189020945 1438149143 2204462190 2378041890 2876298286 4314447429 7190745715 8628894858 10067044001 14381491430 20134088002 21572237145 30201132003 43144474290 50335220005 60402264006 100670440010 151005660015 302011320030