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1012133011104 = 253282318012371
BaseRepresentation
bin11101011101001111101…
…01000001111010100000
310120202111021211020202200
432232213311001322200
5113040322022323404
62052544551013200
7133060412434155
oct16564765017240
93522437736680
101012133011104
113602747757a6
121441a936a200
137459cb61557
1436db79aa22c
151b4dba0c839
hexeba7d41ea0

1012133011104 has 144 divisors (see below), whose sum is σ = 2884566694464. Its totient is φ = 336638592000.

The previous prime is 1012133011081. The next prime is 1012133011111. The reversal of 1012133011104 is 4011103312101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 426879039 + ... + 426881409.

It is an arithmetic number, because the mean of its divisors is an integer number (20031713156).

Almost surely, 21012133011104 is an apocalyptic number.

It is an amenable number.

1012133011104 is an abundant number, since it is smaller than the sum of its proper divisors (1872433683360).

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

1012133011104 is a wasteful number, since it uses less digits than its factorization.

1012133011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1012133011104 its reverse (4011103312101), we get a palindrome (5023236323205).

The spelling of 1012133011104 in words is "one trillion, twelve billion, one hundred thirty-three million, eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 823 1646 1801 2371 2469 3292 3602 4742 4938 5403 6584 7113 7204 7407 9484 9876 10806 13168 14226 14408 14814 16209 18968 19752 21339 21612 26336 28452 28816 29628 32418 37936 39504 42678 43224 56904 57632 59256 64836 75872 79008 85356 86448 113808 118512 129672 170712 172896 227616 237024 259344 341424 518688 682848 1482223 1951333 2964446 3902666 4270171 4446669 5853999 5928892 7805332 8540342 8893338 11707998 11857784 12810513 13340007 15610664 17080684 17561997 17786676 23415996 23715568 25621026 26680014 31221328 34161368 35123994 35573352 38431539 46831992 47431136 51242052 53360028 62442656 68322736 70247988 71146704 76863078 93663984 102484104 106720056 136645472 140495976 142293408 153726156 187327968 204968208 213440112 280991952 307452312 409936416 426880224 561983904 614904624 1229809248 3514350733 7028701466 10543052199 14057402932 21086104398 28114805864 31629156597 42172208796 56229611728 63258313194 84344417592 112459223456 126516626388 168688835184 253033252776 337377670368 506066505552 1012133011104