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150101023300540 = 225131914259709691
BaseRepresentation
bin100010001000010000011110…
…001011001001101110111100
3201200110111222101122012010021
4202020100132023021232330
5124133223343431104130
61251123242544021524
743421304166506364
oct4210203613115674
9650414871565107
10150101023300540
1143910539589194
1214a027010018a4
13659a609383320
14290ccdd3319a4
1512547133ee37a
hex88841e2c9bbc

150101023300540 has 96 divisors (see below), whose sum is σ = 341317113016320. Its totient is φ = 55118726764800.

The previous prime is 150101023300517. The next prime is 150101023300567. The reversal of 150101023300540 is 45003320101051.

It is a happy number.

It is a congruent number.

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, 211147095 + ... + 211856785.

It is an arithmetic number, because the mean of its divisors is an integer number (3555386593920).

Almost surely, 2150101023300540 is an apocalyptic number.

150101023300540 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 150101023300540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170658556508160).

150101023300540 is an abundant number, since it is smaller than the sum of its proper divisors (191216089715780).

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

150101023300540 is a wasteful number, since it uses less digits than its factorization.

150101023300540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714163 (or 714161 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 150101023300540 its reverse (45003320101051), we get a palindrome (195104343401591).

The spelling of 150101023300540 in words is "one hundred fifty trillion, one hundred one billion, twenty-three million, three hundred thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 191 260 382 764 955 1910 2483 3820 4259 4966 8518 9932 12415 17036 21295 24830 42590 49660 55367 85180 110734 221468 276835 553670 709691 813469 1107340 1419382 1626938 2838764 3253876 3548455 4067345 7096910 8134690 9225983 10575097 14193820 16269380 18451966 21150194 36903932 42300388 46129915 52875485 92259830 105750970 135550981 184519660 211501940 271101962 542203924 677754905 1355509810 1762162753 2711019620 3022573969 3524325506 6045147938 7048651012 8810813765 12090295876 15112869845 17621627530 30225739690 35243255060 39293461597 60451479380 78586923194 157173846388 196467307985 392934615970 577311628079 785869231940 1154623256158 2309246512316 2886558140395 5773116280790 7505051165027 11546232561580 15010102330054 30020204660108 37525255825135 75050511650270 150101023300540