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212132103144 = 2331313717328687
BaseRepresentation
bin1100010110010000001…
…1110000001111101000
3202021112211222101021220
43011210003300033220
511433421304300034
6241241355102040
721216555061053
oct3054403601750
9667484871256
10212132103144
1181a68050925
1235142741920
1317008957830
14a3a5489a9a
1557b85db749
hex31640f03e8

212132103144 has 128 divisors (see below), whose sum is σ = 578639255040. Its totient is φ = 64418199552.

The previous prime is 212132103101. The next prime is 212132103149. The reversal of 212132103144 is 441301231212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212132103149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7380369 + ... + 7409055.

It is an arithmetic number, because the mean of its divisors is an integer number (4520619180).

Almost surely, 2212132103144 is an apocalyptic number.

212132103144 is a gapful number since it is divisible by the number (24) 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 212132103144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289319627520).

212132103144 is an abundant number, since it is smaller than the sum of its proper divisors (366507151896).

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

212132103144 is a wasteful number, since it uses less digits than its factorization.

212132103144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29019 (or 29015 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212132103144 its reverse (441301231212), we get a palindrome (653433334356).

The spelling of 212132103144 in words is "two hundred twelve billion, one hundred thirty-two million, one hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 173 274 312 346 411 519 548 692 822 1038 1096 1384 1644 1781 2076 2249 3288 3562 4152 4498 5343 6747 7124 8996 10686 13494 14248 17992 21372 23701 26988 28687 42744 47402 53976 57374 71103 86061 94804 114748 142206 172122 189608 229496 284412 308113 344244 372931 568824 616226 688488 745862 924339 1118793 1232452 1491724 1848678 2237586 2464904 2983448 3697356 3930119 4475172 4962851 7394712 7860238 8950344 9925702 11790357 14888553 15720476 19851404 23580714 29777106 31440952 39702808 47161428 51091547 59554212 64517063 94322856 102183094 119108424 129034126 153274641 193551189 204366188 258068252 306549282 387102378 408732376 516136504 613098564 679910587 774204756 1226197128 1359821174 1548409512 2039731761 2719642348 4079463522 5439284696 8158927044 8838837631 16317854088 17677675262 26516512893 35355350524 53033025786 70710701048 106066051572 212132103144