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131212112100 = 223523735333487
BaseRepresentation
bin111101000110011011…
…0011111000011100100
3110112200101201220211120
41322030312133003210
54122210300041400
6140140014533540
712323362356606
oct1721466370344
9415611656746
10131212112100
11507128a8973
122151a8072b0
13c4b104a024
1464ca46d176
15362e492ca0
hex1e8cd9f0e4

131212112100 has 144 divisors (see below), whose sum is σ = 391017139968. Its totient is φ = 33946767360.

The previous prime is 131212112041. The next prime is 131212112113. The reversal of 131212112100 is 1211212131.

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 131212112100.

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, 3901557 + ... + 3935043.

Almost surely, 2131212112100 is an apocalyptic number.

131212112100 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 131212112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195508569984).

131212112100 is an abundant number, since it is smaller than the sum of its proper divisors (259805027868).

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

131212112100 is a wasteful number, since it uses less digits than its factorization.

131212112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33894 (or 33887 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 131212112100 its reverse (1211212131), we get a palindrome (132423324231).

The spelling of 131212112100 in words is "one hundred thirty-one billion, two hundred twelve million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 353 370 444 555 706 740 925 1059 1110 1412 1765 1850 2118 2220 2775 3530 3700 4236 5295 5550 7060 8825 10590 11100 13061 17650 21180 26122 26475 33487 35300 39183 52244 52950 65305 66974 78366 100461 105900 130610 133948 156732 167435 195915 200922 261220 326525 334870 391830 401844 502305 653050 669740 783660 837175 979575 1004610 1239019 1306100 1674350 1959150 2009220 2478038 2511525 3348700 3717057 3918300 4956076 5023050 6195095 7434114 10046100 11820911 12390190 14868228 18585285 23641822 24780380 30975475 35462733 37170570 47283644 59104555 61950950 70925466 74341140 92926425 118209110 123901900 141850932 177313665 185852850 236418220 295522775 354627330 371705700 437373707 591045550 709254660 874747414 886568325 1182091100 1312121121 1749494828 1773136650 2186868535 2624242242 3546273300 4373737070 5248484484 6560605605 8747474140 10934342675 13121211210 21868685350 26242422420 32803028025 43737370700 65606056050 131212112100