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153130215540 = 223529251350621
BaseRepresentation
bin1000111010011101000…
…1011010100001110100
3112122020220111221100110
42032213101122201310
510002102313344130
6154202543543020
714030465233041
oct2164721324164
9478226457313
10153130215540
1159a40018445
1225816bbaa70
1311594c265c3
1475a93b21c8
153eb37e5ab0
hex23a745a874

153130215540 has 96 divisors (see below), whose sum is σ = 445317989760. Its totient is φ = 39269440000.

The previous prime is 153130215523. The next prime is 153130215541. The reversal of 153130215540 is 45512031351.

It is a super-2 number, since 2×1531302155402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 153130215498 and 153130215507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153130215541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261430 + ... + 612050.

It is an arithmetic number, because the mean of its divisors is an integer number (4638729060).

Almost surely, 2153130215540 is an apocalyptic number.

153130215540 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 153130215540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222658994880).

153130215540 is an abundant number, since it is smaller than the sum of its proper divisors (292187774220).

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

153130215540 is a wasteful number, since it uses less digits than its factorization.

153130215540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350913 (or 350911 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 153130215540 its reverse (45512031351), we get a palindrome (198642246891).

The spelling of 153130215540 in words is "one hundred fifty-three billion, one hundred thirty million, two hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 251 290 348 435 502 580 753 870 1004 1255 1506 1740 2510 3012 3765 5020 7279 7530 14558 15060 21837 29116 36395 43674 72790 87348 109185 145580 218370 350621 436740 701242 1051863 1402484 1753105 2103726 3506210 4207452 5259315 7012420 10168009 10518630 20336018 21037260 30504027 40672036 50840045 61008054 88005871 101680090 122016108 152520135 176011742 203360180 264017613 305040270 352023484 440029355 528035226 610080540 880058710 1056070452 1320088065 1760117420 2552170259 2640176130 5104340518 5280352260 7656510777 10208681036 12760851295 15313021554 25521702590 30626043108 38282553885 51043405180 76565107770 153130215540