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131032301100 = 223521947489109
BaseRepresentation
bin111101000001000100…
…0100011111000101100
3110112012212101120111220
41322002020203320230
54121323232113400
6140110112543340
712316050116361
oct1720210437054
9415185346456
10131032301100
1150630355238
122148a551b50
13c482a1119c
1464b0624468
15361d7c57a0
hex1e82223e2c

131032301100 has 144 divisors (see below), whose sum is σ = 407565580800. Its totient is φ = 32398513920.

The previous prime is 131032301083. The next prime is 131032301107. The reversal of 131032301100 is 1103230131.

It is a super-2 number, since 2×1310323011002 (a number of 23 digits) contains 22 as substring.

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 131032301100.

It is not an unprimeable number, because it can be changed into a prime (131032301107) 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, 23346 + ... + 512454.

Almost surely, 2131032301100 is an apocalyptic number.

131032301100 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 131032301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203782790400).

131032301100 is an abundant number, since it is smaller than the sum of its proper divisors (276533279700).

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

131032301100 is a wasteful number, since it uses less digits than its factorization.

131032301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489192 (or 489185 counting only the distinct ones).

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

Adding to 131032301100 its reverse (1103230131), we get a palindrome (132135531231).

The spelling of 131032301100 in words is "one hundred thirty-one billion, thirty-two million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 47 50 57 60 75 76 94 95 100 114 141 150 188 190 228 235 282 285 300 380 470 475 564 570 705 893 940 950 1140 1175 1410 1425 1786 1900 2350 2679 2820 2850 3525 3572 4465 4700 5358 5700 7050 8930 10716 13395 14100 17860 22325 26790 44650 53580 66975 89300 133950 267900 489109 978218 1467327 1956436 2445545 2934654 4891090 5869308 7336635 9293071 9782180 12227725 14673270 18586142 22988123 24455450 27879213 29346540 36683175 37172284 45976246 46465355 48910900 55758426 68964369 73366350 91952492 92930710 111516852 114940615 137928738 139396065 146732700 185861420 229881230 232326775 275857476 278792130 344821845 436774337 459762460 464653550 557584260 574703075 689643690 696980325 873548674 929307100 1149406150 1310323011 1379287380 1393960650 1724109225 1747097348 2183871685 2298812300 2620646022 2787921300 3448218450 4367743370 5241292044 6551615055 6896436900 8735486740 10919358425 13103230110 21838716850 26206460220 32758075275 43677433700 65516150550 131032301100