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100331121300 = 223521762718973
BaseRepresentation
bin101110101110000110…
…0110110101010010100
3100120222020201001021120
41131130030312222110
53120434231340200
6114031432043540
710151204313504
oct1353414665224
9316866631246
10100331121300
1139606336473
12175408335b0
1395cc2b59c7
144bdb015a04
1529233449a0
hex175c336a94

100331121300 has 72 divisors (see below), whose sum is σ = 290323147296. Its totient is φ = 26752037760.

The previous prime is 100331121257. The next prime is 100331121301. The reversal of 100331121300 is 3121133001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100331121300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331121301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5278614 + ... + 5297586.

Almost surely, 2100331121300 is an apocalyptic number.

100331121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100331121300 is an abundant number, since it is smaller than the sum of its proper divisors (189992025996).

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

100331121300 is a wasteful number, since it uses less digits than its factorization.

100331121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36617 (or 36610 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100331121300 its reverse (3121133001), we get a palindrome (103452254301).

The spelling of 100331121300 in words is "one hundred billion, three hundred thirty-one million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 17627 18973 35254 37946 52881 56919 70508 75892 88135 94865 105762 113838 176270 189730 211524 227676 264405 284595 352540 379460 440675 474325 528810 569190 881350 948650 1057620 1138380 1322025 1422975 1762700 1897300 2644050 2845950 5288100 5691900 334437071 668874142 1003311213 1337748284 1672185355 2006622426 3344370710 4013244852 5016556065 6688741420 8360926775 10033112130 16721853550 20066224260 25082780325 33443707100 50165560650 100331121300