Search a number
-
+
154152030321300 = 2235211386312092347
BaseRepresentation
bin100011000011001101010001…
…000000100011101010010100
3202012210210100001001000110110
4203003031101000203222110
5130201111324230240200
61303504244243323020
744320055005160034
oct4303152100435224
9665723301030413
10154152030321300
1145132566421470
1215357843080470
13680262174643b
142a0cdd8a198c4
1512c4cac36ab50
hex8c3351023a94

154152030321300 has 144 divisors (see below), whose sum is σ = 486685857111552. Its totient is φ = 37360512201600.

The previous prime is 154152030321251. The next prime is 154152030321319. The reversal of 154152030321300 is 3123030251451.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6701727 + ... + 18794073.

It is an arithmetic number, because the mean of its divisors is an integer number (3379762896608).

Almost surely, 2154152030321300 is an apocalyptic number.

154152030321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154152030321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243342928555776).

154152030321300 is an abundant number, since it is smaller than the sum of its proper divisors (332533826790252).

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

154152030321300 is a wasteful number, since it uses less digits than its factorization.

154152030321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12096238 (or 12096231 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 154152030321300 its reverse (3123030251451), we get a palindrome (157275060572751).

The spelling of 154152030321300 in words is "one hundred fifty-four trillion, one hundred fifty-two billion, thirty million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3863 7726 11589 15452 19315 23178 38630 42493 46356 57945 77260 84986 96575 115890 127479 169972 193150 212465 231780 254958 289725 386300 424930 509916 579450 637395 849860 1062325 1158900 1274790 2124650 2549580 3186975 4249300 6373950 12092347 12747900 24184694 36277041 48369388 60461735 72554082 120923470 133015817 145108164 181385205 241846940 266031634 302308675 362770410 399047451 532063268 604617350 665079085 725540820 798094902 906926025 1209234700 1330158170 1596189804 1813852050 1995237255 2660316340 3325395425 3627704100 3990474510 6650790850 7980949020 9976186275 13301581700 19952372550 39904745100 46712736461 93425472922 140138209383 186850945844 233563682305 280276418766 467127364610 513840101071 560552837532 700691046915 934254729220 1027680202142 1167818411525 1401382093830 1541520303213 2055360404284 2335636823050 2569200505355 2802764187660 3083040606426 3503455234575 4671273646100 5138401010710 6166081212852 7006910469150 7707601516065 10276802021420 12846002526775 14013820938300 15415203032130 25692005053550 30830406064260 38538007580325 51384010107100 77076015160650 154152030321300