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3010013130330 = 2395127120413
BaseRepresentation
bin101011110011010010110…
…000110110111001011010
3101122202100222202000000000
4223303102300312321122
5343304001330132310
610222440403353430
7430315634313633
oct53632260667132
911582328660000
103010013130330
11a605a2a397a8
1240743b382876
1318aac61669ab
14a5984ab688a
155346d8474c0
hex2bcd2c36e5a

3010013130330 has 160 divisors (see below), whose sum is σ = 8190957164544. Its totient is φ = 796343317056.

The previous prime is 3010013130239. The next prime is 3010013130347. The reversal of 3010013130330 is 330313100103.

3010013130330 is a `hidden beast` number, since 301 + 0 + 0 + 1 + 3 + 1 + 30 + 330 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 24937204 + ... + 25057616.

Almost surely, 23010013130330 is an apocalyptic number.

3010013130330 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 3010013130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095478582272).

3010013130330 is an abundant number, since it is smaller than the sum of its proper divisors (5180944034214).

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

3010013130330 is an equidigital number, since it uses as much as digits as its factorization.

3010013130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120574 (or 120550 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 3010013130330 its reverse (330313100103), we get a palindrome (3340326230433).

The spelling of 3010013130330 in words is "three trillion, ten billion, thirteen million, one hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 127 135 162 243 254 270 381 405 486 635 729 762 810 1143 1215 1270 1458 1905 2187 2286 2430 3429 3645 3810 4374 5715 6561 6858 7290 10287 10935 11430 13122 17145 19683 20574 21870 30861 32805 34290 39366 51435 61722 65610 92583 98415 102870 120413 154305 185166 196830 240826 277749 308610 361239 462915 555498 602065 722478 833247 925830 1083717 1204130 1388745 1666494 1806195 2167434 2499741 2777490 3251151 3612390 4166235 4999482 5418585 6502302 8332470 9753453 10837170 12498705 15292451 16255755 19506906 24997410 29260359 30584902 32511510 45877353 48767265 58520718 76462255 87781077 91754706 97534530 137632059 146301795 152924510 175562154 229386765 263343231 275264118 292603590 412896177 438905385 458773530 526686462 688160295 790029693 825792354 877810770 1238688531 1316716155 1376320590 1580059386 2064480885 2370089079 2477377062 2633432310 3716065593 3950148465 4128961770 4740178158 6193442655 7432131186 7900296930 11148196779 11850445395 12386885310 18580327965 22296393558 23700890790 33444590337 37160655930 55740983895 66889180674 100333771011 111481967790 167222951685 200667542022 301001313033 334445903370 501668855055 602002626066 1003337710110 1505006565165 3010013130330