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155016000100 = 225213646918433
BaseRepresentation
bin1001000001011110101…
…1000111001001100100
3112211010022221201110001
42100113223013021210
510014433044000400
6155114030511044
714125304155153
oct2202753071144
9484108851401
10155016000100
115a818544285
1226062665484
1311805820960
147707a1959a
154074146a6a
hex2417ac7264

155016000100 has 72 divisors (see below), whose sum is σ = 362336123240. Its totient is φ = 57224724480.

The previous prime is 155016000089. The next prime is 155016000101. The reversal of 155016000100 is 1000610551.

It can be written as a sum of positive squares in 12 ways, for example, as 106446892644 + 48569107456 = 326262^2 + 220384^2 .

It is not an unprimeable number, because it can be changed into a prime (155016000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8400484 + ... + 8418916.

Almost surely, 2155016000100 is an apocalyptic number.

155016000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155016000100 is an abundant number, since it is smaller than the sum of its proper divisors (207320123140).

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

155016000100 is a wasteful number, since it uses less digits than its factorization.

155016000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24929 (or 24922 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 155016000100 its reverse (1000610551), we get a palindrome (156016610651).

The spelling of 155016000100 in words is "one hundred fifty-five billion, sixteen million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 6469 12938 18433 25876 32345 36866 64690 73732 84097 92165 129380 161725 168194 184330 239629 323450 336388 368660 420485 460825 479258 646900 840970 921650 958516 1198145 1681940 1843300 2102425 2396290 4204850 4792580 5990725 8409700 11981450 23962900 119243077 238486154 476972308 596215385 1192430770 1550160001 2384861540 2981076925 3100320002 5962153850 6200640004 7750800005 11924307700 15501600010 31003200020 38754000025 77508000050 155016000100