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133230320100 = 22335282160103
BaseRepresentation
bin111110000010100100…
…1010101100111100100
3110201220001100111202000
41330011021111213210
54140323430220400
6141112152045300
712424400015133
oct1740511254744
9421801314660
10133230320100
1151559051469
12219a2693830
13c7431cac47
14663c50791a
1536eb750600
hex1f052559e4

133230320100 has 144 divisors (see below), whose sum is σ = 428839635840. Its totient is φ = 35484220800.

The previous prime is 133230320087. The next prime is 133230320129. The reversal of 133230320100 is 1023032331.

133230320100 is a `hidden beast` number, since 1 + 332 + 3 + 0 + 320 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2186649 + ... + 2246751.

Almost surely, 2133230320100 is an apocalyptic number.

133230320100 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 133230320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214419817920).

133230320100 is an abundant number, since it is smaller than the sum of its proper divisors (295609315740).

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

133230320100 is a wasteful number, since it uses less digits than its factorization.

133230320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60947 (or 60934 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133230320100 its reverse (1023032331), we get a palindrome (134253352431).

The spelling of 133230320100 in words is "one hundred thirty-three billion, two hundred thirty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 821 900 1350 1642 2463 2700 3284 4105 4926 7389 8210 9852 12315 14778 16420 20525 22167 24630 29556 36945 41050 44334 49260 60103 61575 73890 82100 88668 110835 120206 123150 147780 180309 184725 221670 240412 246300 300515 360618 369450 443340 540927 554175 601030 721236 738900 901545 1081854 1108350 1202060 1502575 1622781 1803090 2163708 2216700 2704635 3005150 3245562 3606180 4507725 5409270 6010300 6491124 8113905 9015450 10818540 13523175 16227810 18030900 27046350 32455620 40569525 49344563 54092700 81139050 98689126 148033689 162278100 197378252 246722815 296067378 444101067 493445630 592134756 740168445 888202134 986891260 1233614075 1332303201 1480336890 1776404268 2220505335 2467228150 2664606402 2960673780 3700842225 4441010670 4934456300 5329212804 6661516005 7401684450 8882021340 11102526675 13323032010 14803368900 22205053350 26646064020 33307580025 44410106700 66615160050 133230320100