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1003040022112 = 25238918318363
BaseRepresentation
bin11101001100010011101…
…10000001111001100000
310112220000120202112211121
432212021312001321200
5112413211221201422
62044442404422024
7132316160341162
oct16461166017140
93486016675747
101003040022112
11357428a41567
121424900a7914
13737810539ab
14367940aa932
151b1585b38c7
hexe989d81e60

1003040022112 has 96 divisors (see below), whose sum is σ = 2085133155840. Its totient is φ = 474009000960.

The previous prime is 1003040022107. The next prime is 1003040022143. The reversal of 1003040022112 is 2112200403001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119933643 + ... + 119942005.

It is an arithmetic number, because the mean of its divisors is an integer number (21720137040).

Almost surely, 21003040022112 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 1003040022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042566577920).

1003040022112 is an abundant number, since it is smaller than the sum of its proper divisors (1082093133728).

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

1003040022112 is a wasteful number, since it uses less digits than its factorization.

1003040022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10316 (or 10308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1003040022112 its reverse (2112200403001), we get a palindrome (3115240425113).

The spelling of 1003040022112 in words is "one trillion, three billion, forty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 89 92 178 184 356 368 712 736 1424 1831 2047 2848 3662 4094 7324 8188 8363 14648 16376 16726 29296 32752 33452 42113 58592 65504 66904 84226 133808 162959 168452 192349 267616 325918 336904 384698 651836 673808 744307 769396 1303672 1347616 1488614 1538792 2607344 2977228 3077584 3748057 5214688 5954456 6155168 7496114 11908912 14992228 15312653 17119061 23817824 29984456 30625306 34238122 59968912 61250612 68476244 119937824 122501224 136952488 245002448 273904976 352191019 490004896 547809952 704382038 1362826117 1408764076 2725652234 2817528152 5451304468 5635056304 10902608936 11270112608 21805217872 31345000691 43610435744 62690001382 125380002764 250760005528 501520011056 1003040022112