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1332101030004 = 22322988311091303
BaseRepresentation
bin10011011000100111011…
…010001010000001110100
311201100101102002201221100
4103120213122022001310
5133311120330430004
62455543032050100
7165145463634213
oct23304732120164
94640342081840
101332101030004
11473a39338158
12196205b33930
139880284b154
144868ca6b07a
15249b721b739
hex1362768a074

1332101030004 has 144 divisors (see below), whose sum is σ = 3493135900800. Its totient is φ = 427522136832.

The previous prime is 1332101029999. The next prime is 1332101030063. The reversal of 1332101030004 is 4000301012331.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1022333217 + ... + 1022334519.

It is an arithmetic number, because the mean of its divisors is an integer number (24257888200).

Almost surely, 21332101030004 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 1332101030004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746567950400).

1332101030004 is an abundant number, since it is smaller than the sum of its proper divisors (2161034870796).

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

1332101030004 is a wasteful number, since it uses less digits than its factorization.

1332101030004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1332101030004 its reverse (4000301012331), we get a palindrome (5332402042335).

The spelling of 1332101030004 in words is "one trillion, three hundred thirty-two billion, one hundred one million, thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 883 1044 1109 1303 1766 2218 2606 2649 3327 3532 3909 4436 5212 5298 6654 7818 7947 9981 10596 11727 13308 15636 15894 19962 23454 25607 31788 32161 37787 39924 46908 51214 64322 75574 76821 96483 102428 113361 128644 151148 153642 192966 226722 230463 289449 307284 340083 385932 453444 460926 578898 680166 921852 979247 1150549 1157796 1360332 1445027 1958494 2301098 2890054 2937741 3451647 3916988 4335081 4602196 5780108 5875482 6903294 8670162 8813223 10354941 11750964 13005243 13806588 17340324 17626446 20709882 26010486 28398163 33365921 35252892 41419764 41905783 52020972 56796326 66731842 83811566 85194489 100097763 113592652 125717349 133463684 167623132 170388978 200195526 251434698 255583467 300293289 340777956 377152047 400391052 502869396 511166934 600586578 754304094 1022333868 1201173156 1275958841 1508608188 2551917682 3827876523 5103835364 7655753046 11483629569 15311506092 22967259138 37002806389 45934518276 74005612778 111008419167 148011225556 222016838334 333025257501 444033676668 666050515002 1332101030004