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2003530141332 = 223217151142715193
BaseRepresentation
bin11101001001111011101…
…100111100111010010100
321002112110110102121111100
4131021323230330322110
5230311212204010312
64132224204110100
7264515226132216
oct35117354747224
97075413377440
102003530141332
11702768595265
1228436a235330
13116c16a250b5
146cd856565b6
15371b2d905dc
hex1d27bb3ce94

2003530141332 has 144 divisors (see below), whose sum is σ = 5402040239232. Its totient is φ = 623917209600.

The previous prime is 2003530141273. The next prime is 2003530141369. The reversal of 2003530141332 is 2331410353002.

2003530141332 is a `hidden beast` number, since 20 + 0 + 3 + 5 + 301 + 4 + 1 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2003530141296 and 2003530141305.

It is a congruent number.

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, 131864328 + ... + 131879520.

It is an arithmetic number, because the mean of its divisors is an integer number (37514168328).

Almost surely, 22003530141332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003530141332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701020119616).

2003530141332 is an abundant number, since it is smaller than the sum of its proper divisors (3398510097900).

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

2003530141332 is a wasteful number, since it uses less digits than its factorization.

2003530141332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16798 (or 16793 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 2003530141332 its reverse (2331410353002), we get a palindrome (4334940494334).

The spelling of 2003530141332 in words is "two trillion, three billion, five hundred thirty million, one hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 151 153 204 302 306 453 604 612 906 1359 1427 1812 2567 2718 2854 4281 5134 5436 5708 7701 8562 10268 12843 15193 15402 17124 23103 24259 25686 30386 30804 45579 46206 48518 51372 60772 72777 91158 92412 97036 136737 145554 182316 215477 218331 258281 273474 291108 430954 436662 516562 546948 646431 774843 861908 873324 1033124 1292862 1549686 1939293 2294143 2324529 2585724 3099372 3663109 3878586 4588286 4649058 6882429 7326218 7757172 9176572 9298116 10989327 13764858 14652436 20647287 21680411 21978654 27529716 32967981 39000431 41294574 43360822 43957308 65041233 65935962 78000862 82589148 86721644 117001293 130082466 131871924 156001724 195123699 234002586 260164932 351003879 368566987 390247398 468005172 702007758 737133974 780494796 1105700961 1404015516 1474267948 2211401922 3273742061 3317102883 4422803844 6547484122 6634205766 9821226183 13094968244 13268411532 19642452366 29463678549 39284904732 55653615037 58927357098 111307230074 117854714196 166960845111 222614460148 333921690222 500882535333 667843380444 1001765070666 2003530141332