Search a number
-
+
151401221120 = 210548316121
BaseRepresentation
bin1000110100000000110…
…1110100110000000000
3112110210102002220220002
42031000031310300000
54440032203033440
6153315221335132
713636602101012
oct2150015646000
9473712086802
10151401221120
1159233051336
1225413b674a8
131137a967996
1474839001b2
153e11b16115
hex2340374c00

151401221120 has 88 divisors (see below), whose sum is σ = 363320032128. Its totient is φ = 60538060800.

The previous prime is 151401221071. The next prime is 151401221131. The reversal of 151401221120 is 21122104151.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 151401221092 and 151401221101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24731660 + ... + 24737780.

Almost surely, 2151401221120 is an apocalyptic number.

151401221120 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 151401221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181660016064).

151401221120 is an abundant number, since it is smaller than the sum of its proper divisors (211918811008).

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

151401221120 is an equidigital number, since it uses as much as digits as its factorization.

151401221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10977 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 151401221120 its reverse (21122104151), we get a palindrome (172523325271).

The spelling of 151401221120 in words is "one hundred fifty-one billion, four hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 4831 5120 6121 9662 12242 19324 24155 24484 30605 38648 48310 48968 61210 77296 96620 97936 122420 154592 193240 195872 244840 309184 386480 391744 489680 618368 772960 783488 979360 1236736 1545920 1566976 1958720 2473472 3091840 3133952 3917440 4946944 6183680 6267904 7834880 12367360 15669760 24734720 29570551 31339520 59141102 118282204 147852755 236564408 295705510 473128816 591411020 946257632 1182822040 1892515264 2365644080 3785030528 4731288160 7570061056 9462576320 15140122112 18925152640 30280244224 37850305280 75700610560 151401221120