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20331112130100 = 22325261336851753
BaseRepresentation
bin1001001111101101101001…
…01101110110011000110100
32122222122011011100111110200
410213312310231312120310
510131101104201130400
6111123552312120500
74165605624500022
oct447666455663064
978878134314420
1020331112130100
116529415848152
122344380396130
13b462a5a14685
145040613c3712
15253cd3aedb00
hex127db4b76634

20331112130100 has 108 divisors (see below), whose sum is σ = 63830701992876. Its totient is φ = 5412785333760.

The previous prime is 20331112130089. The next prime is 20331112130107. The reversal of 20331112130100 is 103121113302.

20331112130100 is a `hidden beast` number, since 2 + 0 + 331 + 11 + 21 + 301 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 439744049424 + 19891368080676 = 663132^2 + 4459974^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331112130107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17874177 + ... + 18977576.

Almost surely, 220331112130100 is an apocalyptic number.

20331112130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20331112130100 is an abundant number, since it is smaller than the sum of its proper divisors (43499589862776).

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

20331112130100 is a wasteful number, since it uses less digits than its factorization.

20331112130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36852386 (or 36852376 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20331112130100 its reverse (103121113302), we get a palindrome (20434233243402).

The spelling of 20331112130100 in words is "twenty trillion, three hundred thirty-one billion, one hundred twelve million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 613 900 1226 1839 2452 3065 3678 5517 6130 7356 9195 11034 12260 15325 18390 22068 27585 30650 36780 45975 55170 61300 91950 110340 137925 183900 275850 551700 36851753 73703506 110555259 147407012 184258765 221110518 331665777 368517530 442221036 552776295 663331554 737035060 921293825 1105552590 1326663108 1658328885 1842587650 2211105180 2763881475 3316657770 3685175300 5527762950 6633315540 8291644425 11055525900 16583288850 22590124589 33166577700 45180249178 67770373767 90360498356 112950622945 135540747534 203311121301 225901245890 271081495068 338851868835 406622242602 451802491780 564753114725 677703737670 813244485204 1016555606505 1129506229450 1355407475340 1694259344175 2033111213010 2259012458900 3388518688350 4066222426020 5082778032525 6777037376700 10165556065050 20331112130100