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102220010010112 = 291983593213491
BaseRepresentation
bin10111001111011111110011…
…011000101011011000000000
3111101221010201020210220021211
4113033133303120223120000
5101344233040030310422
61001223120241455504
730350103065652241
oct2717376330533000
9441833636726254
10102220010010112
112a6302988649a5
12b56ab0a641594
1345063c849a447
141b35691112cc8
15bc3e9c7b8577
hex5cf7f362b600

102220010010112 has 160 divisors (see below), whose sum is σ = 217948039182720. Its totient is φ = 47755738644480.

The previous prime is 102220010010101. The next prime is 102220010010121. The reversal of 102220010010112 is 211010010022201.

It is a junction number, because it is equal to n+sod(n) for n = 102220010010092 and 102220010010101.

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, 478695687 + ... + 478909177.

It is an arithmetic number, because the mean of its divisors is an integer number (1362175244892).

Almost surely, 2102220010010112 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 102220010010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108974019591360).

102220010010112 is an abundant number, since it is smaller than the sum of its proper divisors (115728029172608).

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

102220010010112 is an equidigital number, since it uses as much as digits as its factorization.

102220010010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214204 (or 214188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102220010010112 its reverse (211010010022201), we get a palindrome (313230020032313).

The spelling of 102220010010112 in words is "one hundred two trillion, two hundred twenty billion, ten million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 128 152 166 256 304 332 512 593 608 664 1186 1216 1328 1577 2372 2432 2656 3154 4744 4864 5312 6308 9488 9728 10624 11267 12616 18976 21248 22534 25232 37952 42496 45068 49219 50464 75904 90136 98438 100928 151808 180272 196876 201856 213491 303616 360544 393752 403712 426982 721088 787504 807424 853964 935161 1442176 1575008 1707928 1870322 2884352 3150016 3415856 3740644 4056329 5768704 6300032 6831712 7481288 8112658 12600064 13663424 14962576 16225316 17719753 25200128 27326848 29925152 32450632 35439506 54653696 59850304 64901264 70879012 109307392 119700608 126600163 129802528 141758024 239401216 253200326 259605056 283516048 336675307 478802432 506400652 519210112 567032096 673350614 1012801304 1038420224 1134064192 1346701228 2025602608 2076840448 2268128384 2405403097 2693402456 4051205216 4536256768 4810806194 5386804912 8102410432 9072513536 9621612388 10507813529 10773609824 16204820864 19243224776 21015627058 21547219648 32409641728 38486449552 42031254116 43094439296 64819283456 76972899104 84062508232 86188878592 153945798208 168125016464 172377757184 199648457051 307891596416 336250032928 399296914102 615783192832 672500065856 798593828204 1231566385664 1345000131712 1597187656408 2690000263424 3194375312816 5380000526848 6388750625632 12777501251264 25555002502528 51110005005056 102220010010112