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102000222020112 = 24313237397356697
BaseRepresentation
bin10111001100010011000111…
…000000000010001000010000
3111101011010101211221011120220
4113030103013000002020100
5101332132423314120422
61000534131034233040
730325162405606263
oct2714230700021020
9441133354834526
10102000222020112
112a55606220aa59
12b5343abb85780
1344bb76c6a4360
141b28ba0d76cda
15bbd3d7005e5c
hex5cc4c7002210

102000222020112 has 160 divisors (see below), whose sum is σ = 300163940444928. Its totient is φ = 29608897241088.

The previous prime is 102000222020107. The next prime is 102000222020117. The reversal of 102000222020112 is 211020222000201.

It is an interprime number because it is at equal distance from previous prime (102000222020107) and next prime (102000222020117).

It is a junction number, because it is equal to n+sod(n) for n = 102000222020091 and 102000222020100.

It is not an unprimeable number, because it can be changed into a prime (102000222020117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47630653 + ... + 49726044.

Almost surely, 2102000222020112 is an apocalyptic number.

102000222020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102000222020112 is an abundant number, since it is smaller than the sum of its proper divisors (198163718424816).

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

102000222020112 is a wasteful number, since it uses less digits than its factorization.

102000222020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97356817 (or 97356811 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102000222020112 its reverse (211020222000201), we get a palindrome (313020444020313).

The spelling of 102000222020112 in words is "one hundred two trillion, two hundred twenty-two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 73 78 92 104 138 146 156 184 208 219 276 292 299 312 368 438 552 584 598 624 876 897 949 1104 1168 1196 1679 1752 1794 1898 2392 2847 3358 3504 3588 3796 4784 5037 5694 6716 7176 7592 10074 11388 13432 14352 15184 20148 21827 22776 26864 40296 43654 45552 65481 80592 87308 130962 174616 261924 349232 523848 1047696 97356697 194713394 292070091 389426788 584140182 778853576 1168280364 1265637061 1557707152 2239204031 2336560728 2531274122 3796911183 4478408062 4673121456 5062548244 6717612093 7107038881 7593822366 8956816124 10125096488 13435224186 14214077762 15187644732 17913632248 20250192976 21321116643 26870448372 28428155524 29109652403 30375289464 35827264496 42642233286 53740896744 56856311048 58219304806 60750578928 85284466572 87328957209 92391505453 107481793488 113712622096 116438609612 163461894263 170568933144 174657914418 184783010906 232877219224 277174516359 326923788526 341137866288 349315828836 369566021812 465754438448 490385682789 554349032718 653847577052 698631657672 739132043624 980771365578 1108698065436 1307695154104 1397263315344 1478264087248 1961542731156 2125004625419 2217396130872 2615390308208 3923085462312 4250009250838 4434792261744 6375013876257 7846170924624 8500018501676 12750027752514 17000037003352 25500055505028 34000074006704 51000111010056 102000222020112