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1005204250112 = 2919314181299
BaseRepresentation
bin11101010000010101101…
…01111001111000000000
310120002121102010201112012
432220022311321320000
5112432124242000422
62045441235352052
7132423620101616
oct16501265717000
93502542121465
101005204250112
11358339659047
12142994a52628
1373a3753c08a
143691b6b56b6
151b2335b64e2
hexea0ad79e00

1005204250112 has 160 divisors (see below), whose sum is σ = 2235606912000. Its totient is φ = 449545420800.

The previous prime is 1005204250111. The next prime is 1005204250133. The reversal of 1005204250112 is 2110524025001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005204250111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12323639 + ... + 12404937.

It is an arithmetic number, because the mean of its divisors is an integer number (13972543200).

Almost surely, 21005204250112 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 1005204250112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117803456000).

1005204250112 is an abundant number, since it is smaller than the sum of its proper divisors (1230402661888).

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

1005204250112 is an equidigital number, since it uses as much as digits as its factorization.

1005204250112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81408 (or 81392 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 1005204250112 its reverse (2110524025001), we get a palindrome (3115728275113).

The spelling of 1005204250112 in words is "one trillion, five billion, two hundred four million, two hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 41 62 64 76 82 124 128 152 164 248 256 304 328 496 512 589 608 656 779 992 1178 1216 1271 1312 1558 1984 2356 2432 2542 2624 3116 3968 4712 4864 5084 5248 6232 7936 9424 9728 10168 10496 12464 15872 18848 20336 20992 24149 24928 37696 40672 48298 49856 75392 81299 81344 96596 99712 150784 162598 162688 193192 199424 301568 325196 325376 386384 398848 650392 650752 772768 1300784 1544681 1545536 2520269 2601568 3089362 3091072 3333259 5040538 5203136 6178724 6182144 6666518 10081076 10406272 12357448 12364288 13333036 20162152 20812544 24714896 26666072 40324304 41625088 47885111 49429792 53332144 63331921 80648608 95770222 98859584 103331029 106664288 126663842 161297216 191540444 197719168 206662058 213328576 253327684 322594432 383080888 395438336 413324116 426657152 506655368 645188864 766161776 790876672 826648232 853314304 1013310736 1290377728 1532323552 1653296464 1706628608 1963289551 2026621472 3064647104 3306592928 3926579102 4053242944 6129294208 6613185856 7853158204 8106485888 12258588416 13226371712 15706316408 16212971776 24517176832 26452743424 31412632816 32425943552 52905486848 62825265632 125650531264 251301062528 502602125056 1005204250112