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120020130100 = 225213313780491
BaseRepresentation
bin110111111000111000…
…0011101100100110100
3102110210102001022210201
41233301300131210310
53431300123130400
6131045251530244
711446132162513
oct1576160354464
9373712038721
10120020130100
114699a264172
121b3165b9984
13b419414a80
145b47ca667a
1531c6b3006a
hex1bf1c1d934

120020130100 has 144 divisors (see below), whose sum is σ = 297354190336. Its totient is φ = 41726016000.

The previous prime is 120020130091. The next prime is 120020130103. The reversal of 120020130100 is 1031020021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020130103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1450855 + ... + 1531345.

Almost surely, 2120020130100 is an apocalyptic number.

120020130100 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 120020130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148677095168).

120020130100 is an abundant number, since it is smaller than the sum of its proper divisors (177334060236).

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

120020130100 is a wasteful number, since it uses less digits than its factorization.

120020130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80586 (or 80579 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 120020130100 its reverse (1031020021), we get a palindrome (121051150121).

The spelling of 120020130100 in words is "one hundred twenty billion, twenty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 37 50 52 62 65 74 100 124 130 148 155 185 260 310 325 370 403 481 620 650 740 775 806 925 962 1147 1300 1550 1612 1850 1924 2015 2294 2405 3100 3700 4030 4588 4810 5735 8060 9620 10075 11470 12025 14911 20150 22940 24050 28675 29822 40300 48100 57350 59644 74555 80491 114700 149110 160982 298220 321964 372775 402455 745550 804910 1046383 1491100 1609820 2012275 2092766 2495221 2978167 4024550 4185532 4990442 5231915 5956334 8049100 9980884 10463830 11912668 12476105 14890835 20927660 24952210 26159575 29781670 32437873 38716171 49904420 52319150 59563340 62380525 64875746 74454175 77432342 92323177 104638300 124761050 129751492 148908350 154864684 162189365 184646354 193580855 249522100 297816700 324378730 369292708 387161710 461615885 648757460 774323420 810946825 923231770 967904275 1200201301 1621893650 1846463540 1935808550 2308079425 2400402602 3243787300 3871617100 4616158850 4800805204 6001006505 9232317700 12002013010 24004026020 30005032525 60010065050 120020130100