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151421314120 = 23531899191493
BaseRepresentation
bin1000110100000101101…
…0011110010001001000
3112110211210220202022021
42031001122132101020
54440102324022440
6153321220134224
713640234635126
oct2150132362110
9473753822267
10151421314120
115924342551a
122541a837374
1311381b8152b
147486450916
153e1378484a
hex234169e448

151421314120 has 128 divisors (see below), whose sum is σ = 356265216000. Its totient is φ = 57854269440.

The previous prime is 151421314117. The next prime is 151421314139. The reversal of 151421314120 is 21413124151.

It is a happy number.

It is a super-2 number, since 2×1514213141202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101420094 + ... + 101421586.

It is an arithmetic number, because the mean of its divisors is an integer number (2783322000).

Almost surely, 2151421314120 is an apocalyptic number.

151421314120 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 151421314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178132608000).

151421314120 is an abundant number, since it is smaller than the sum of its proper divisors (204843901880).

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

151421314120 is a wasteful number, since it uses less digits than its factorization.

151421314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 151421314120 its reverse (21413124151), we get a palindrome (172834438271).

The spelling of 151421314120 in words is "one hundred fifty-one billion, four hundred twenty-one million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 89 124 155 178 248 310 356 445 620 712 890 919 1240 1493 1780 1838 2759 2986 3560 3676 4595 5518 5972 7352 7465 9190 11036 11944 13795 14930 18380 22072 27590 28489 29860 36760 46283 55180 56978 59720 81791 92566 110360 113956 132877 142445 163582 185132 227912 231415 265754 284890 327164 370264 408955 462830 531508 569780 654328 664385 817910 925660 1063016 1139560 1328770 1372067 1635820 1851320 2535521 2657540 2744134 3271640 4119187 5071042 5315080 5488268 6860335 8238374 10142084 10976536 12677605 13720670 16476748 20284168 20595935 25355210 27441340 32953496 41191870 42534077 50710420 54882680 82383740 85068154 101420840 122113963 164767480 170136308 212670385 244227926 340272616 425340770 488455852 610569815 850681540 976911704 1221139630 1701363080 2442279260 3785532853 4884558520 7571065706 15142131412 18927664265 30284262824 37855328530 75710657060 151421314120