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10212202101220 = 2257217873170207
BaseRepresentation
bin1001010010011011011010…
…1011011011100111100100
31100011021110220220220102121
42110212312223123213210
52314304042214214340
633415230524315324
72102543613423400
oct224466653334744
940137426826377
1010212202101220
113287a74944499
12118b2399a2b44
13591011450a22
142743b79da100
1512a99975994a
hex949b6adb9e4

10212202101220 has 144 divisors (see below), whose sum is σ = 26417820183552. Its totient is φ = 3294941690880.

The previous prime is 10212202101163. The next prime is 10212202101221. The reversal of 10212202101220 is 2210120221201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10212202101194 and 10212202101203.

It is not an unprimeable number, because it can be changed into a prime (10212202101221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145423357 + ... + 145493563.

It is an arithmetic number, because the mean of its divisors is an integer number (183457084608).

Almost surely, 210212202101220 is an apocalyptic number.

10212202101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212202101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208910091776).

10212202101220 is an abundant number, since it is smaller than the sum of its proper divisors (16205618082332).

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

10212202101220 is a wasteful number, since it uses less digits than its factorization.

10212202101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78978 (or 78969 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10212202101220 its reverse (2210120221201), we get a palindrome (12422322322421).

The spelling of 10212202101220 in words is "ten trillion, two hundred twelve billion, two hundred two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 8731 16660 17462 34924 43655 61117 70207 87310 122234 140414 148427 174620 244468 280828 296854 305585 351035 427819 491449 593708 611170 702070 742135 855638 982898 1038989 1193519 1222340 1404140 1484270 1711276 1965796 2077978 2139095 2387038 2457245 2968540 3440143 4155956 4278190 4774076 4914490 5194945 5967595 6880286 7272923 8354633 8556380 9828980 10389890 11935190 13760572 14545846 16709266 17200715 20779780 23870380 29091692 33418532 34401430 36364615 41773165 58482431 68802860 72729230 83546330 116964862 145458460 167092660 233929724 292412155 584824310 612977317 1169648620 1225954634 2451909268 3064886585 4290841219 6129773170 8581682438 10420614389 12259546340 17163364876 20841228778 21454206095 30035888533 41682457556 42908412190 52103071945 60071777066 72944300723 85816824380 104206143890 120143554132 145888601446 150179442665 208412287780 291777202892 300358885330 364721503615 510610105061 600717770660 729443007230 1021220210122 1458886014460 2042440420244 2553050525305 5106101050610 10212202101220