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1203133000120 = 2351923411678759
BaseRepresentation
bin10001100000100000010…
…100001010100110111000
311021000111102000000011221
4101200200110022212320
5124203004022000440
62320413415401424
7152631520523122
oct21404024124670
94230442000157
101203133000120
11424278238497
12175212983274
13895bb6c842c
1442336672212
1521469ca1d4a
hex1182050a9b8

1203133000120 has 128 divisors (see below), whose sum is σ = 3045942144000. Its totient is φ = 425464427520.

The previous prime is 1203133000117. The next prime is 1203133000129. The reversal of 1203133000120 is 210003313021.

It is a junction number, because it is equal to n+sod(n) for n = 1203133000094 and 1203133000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203133000129) 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, 122700 + ... + 1556059.

It is an arithmetic number, because the mean of its divisors is an integer number (23796423000).

Almost surely, 21203133000120 is an apocalyptic number.

1203133000120 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 1203133000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522971072000).

1203133000120 is an abundant number, since it is smaller than the sum of its proper divisors (1842809143880).

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

1203133000120 is a wasteful number, since it uses less digits than its factorization.

1203133000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678853 (or 1678849 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1203133000120 its reverse (210003313021), we get a palindrome (1413136313141).

The spelling of 1203133000120 in words is "one trillion, two hundred three billion, one hundred thirty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 19 20 23 38 40 41 46 76 82 92 95 115 152 164 184 190 205 230 328 380 410 437 460 760 779 820 874 920 943 1558 1640 1748 1886 2185 3116 3496 3772 3895 4370 4715 6232 7544 7790 8740 9430 15580 17480 17917 18860 31160 35834 37720 71668 89585 143336 179170 358340 716680 1678759 3357518 6715036 8393795 13430072 16787590 31896421 33575180 38611457 63792842 67150360 68829119 77222914 127585684 137658238 154445828 159482105 193057285 255171368 275316476 308891656 318964210 344145595 386114570 550632952 637928420 688291190 733617683 772229140 1275856840 1307753261 1376582380 1467235366 1544458280 1583069737 2615506522 2753164760 2934470732 3166139474 3668088415 5231013044 5868941464 6332278948 6538766305 7336176830 7915348685 10462026088 12664557896 13077532610 14672353660 15830697370 26155065220 29344707320 30078325003 31661394740 52310130440 60156650006 63322789480 120313300012 150391625015 240626600024 300783250030 601566500060 1203133000120