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1012130310100 = 2252713267141641
BaseRepresentation
bin11101011101001111010…
…10101110011111010100
310120202111002202000200111
432232213222232133110
5113040320324410400
62052544413052404
7133060350454420
oct16564752563724
93522432660614
101012130310100
113602731a0468
121441a8487104
137459c427020
1436db74a5b80
151b4db6773ba
hexeba7aae7d4

1012130310100 has 144 divisors (see below), whose sum is σ = 2704243472896. Its totient is φ = 320194944000.

The previous prime is 1012130310089. The next prime is 1012130310109. The reversal of 1012130310100 is 10130312101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012130310109) 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, 24285280 + ... + 24326920.

Almost surely, 21012130310100 is an apocalyptic number.

1012130310100 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 1012130310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352121736448).

1012130310100 is an abundant number, since it is smaller than the sum of its proper divisors (1692113162796).

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

1012130310100 is a wasteful number, since it uses less digits than its factorization.

1012130310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44346 (or 44339 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1012130310100 its reverse (10130312101), we get a palindrome (1022260622201).

The spelling of 1012130310100 in words is "one trillion, twelve billion, one hundred thirty million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 2671 4550 5342 9100 10684 13355 18697 26710 34723 37394 41641 53420 66775 69446 74788 83282 93485 133550 138892 166564 173615 186970 208205 243061 267100 291487 347230 373940 416410 467425 486122 541333 582974 694460 832820 868075 934850 972244 1041025 1082666 1165948 1215305 1457435 1736150 1869700 2082050 2165332 2430610 2706665 2914870 3472300 3789331 4164100 4861220 5413330 5829740 6076525 7287175 7578662 10826660 12153050 13533325 14574350 15157324 18946655 24306100 27066650 29148700 37893310 54133300 75786620 94733275 111223111 189466550 222446222 378933100 444892444 556115555 778561777 1112231110 1445900443 1557123554 2224462220 2780577775 2891800886 3114247108 3892808885 5561155550 5783601772 7229502215 7785617770 10121303101 11122311100 14459004430 15571235540 19464044425 20242606202 28918008860 36147511075 38928088850 40485212404 50606515505 72295022150 77856177700 101213031010 144590044300 202426062020 253032577525 506065155050 1012130310100