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1002210202112 = 2974016831021
BaseRepresentation
bin11101001010110000110…
…00100001001000000000
310112210212202022022210112
432211120120201020000
5112410011302431422
62044224202450452
7132256463105660
oct16453030411000
93483782268715
101002210202112
11357042593509
1214229a203a28
137367b15ca42
1436715bbc1a0
151b10a7eaee2
hexe958621200

1002210202112 has 160 divisors (see below), whose sum is σ = 2299845550464. Its totient is φ = 427401216000.

The previous prime is 1002210202051. The next prime is 1002210202171. The reversal of 1002210202112 is 2112020122001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981596162 + ... + 981597182.

Almost surely, 21002210202112 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 1002210202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149922775232).

1002210202112 is an abundant number, since it is smaller than the sum of its proper divisors (1297635348352).

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

1002210202112 is an equidigital number, since it uses as much as digits as its factorization.

1002210202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002210202112 its reverse (2112020122001), we get a palindrome (3114230324113).

The spelling of 1002210202112 in words is "one trillion, two billion, two hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 401 448 512 683 802 896 1021 1366 1604 1792 2042 2732 2807 3208 3584 4084 4781 5464 5614 6416 7147 8168 9562 10928 11228 12832 14294 16336 19124 21856 22456 25664 28588 32672 38248 43712 44912 51328 57176 65344 76496 87424 89824 102656 114352 130688 152992 174848 179648 205312 228704 261376 273883 305984 349696 359296 409421 457408 522752 547766 611968 697343 718592 818842 914816 1095532 1223936 1394686 1437184 1637684 1829632 1917181 2191064 2447872 2789372 2865947 3275368 3659264 3834362 4382128 4881401 5578744 5731894 6550736 7668724 8764256 9762802 11157488 11463788 13101472 15337448 17528512 19525604 22314976 22927576 26202944 30674896 35057024 39051208 44629952 45855152 52405888 61349792 70114048 78102416 89259904 91710304 104811776 122699584 140228096 156204832 178519808 183420608 209623552 245399168 279634543 312409664 357039616 366841216 490798336 559269086 624819328 733682432 981596672 1118538172 1249638656 1467364864 1957441801 2237076344 2499277312 3914883602 4474152688 7829767204 8948305376 15659534408 17896610752 31319068816 35793221504 62638137632 71586443008 125276275264 143172886016 250552550528 501105101056 1002210202112