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2003031121400 = 2352192953178501
BaseRepresentation
bin11101001001011101111…
…101010101110111111000
321002111011200102202211122
4131021131331111313320
5230304201431341100
64132102500244412
7264466656416501
oct35113575256770
97074150382748
102003031121400
117025319381a1
1228424b0a0708
13116b6752412a
146cd39277ba8
153718416c985
hex1d25df55df8

2003031121400 has 96 divisors (see below), whose sum is σ = 4903842644400. Its totient is φ = 758782080000.

The previous prime is 2003031121363. The next prime is 2003031121417. The reversal of 2003031121400 is 41211303002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11132150 + ... + 11310650.

Almost surely, 22003031121400 is an apocalyptic number.

2003031121400 is a gapful number since it is divisible by the number (20) 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 2003031121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451921322200).

2003031121400 is an abundant number, since it is smaller than the sum of its proper divisors (2900811523000).

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

2003031121400 is a wasteful number, since it uses less digits than its factorization.

2003031121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181489 (or 181480 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2003031121400 its reverse (41211303002), we get a palindrome (2044242424402).

The spelling of 2003031121400 in words is "two trillion, three billion, thirty-one million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 2953 3800 5906 11812 14765 23624 29530 56107 59060 73825 112214 118120 147650 178501 224428 280535 295300 357002 448856 561070 590600 714004 892505 1122140 1402675 1428008 1785010 2244280 2805350 3391519 3570020 4462525 5610700 6783038 7140040 8925050 11221400 13566076 16957595 17850100 27132152 33915190 35700200 67830380 84787975 135660760 169575950 339151900 527113453 678303800 1054226906 2108453812 2635567265 4216907624 5271134530 10015155607 10542269060 13177836325 20030311214 21084538120 26355672650 40060622428 50075778035 52711345300 80121244856 100151556070 105422690600 200303112140 250378890175 400606224280 500757780350 1001515560700 2003031121400