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102031221414210 = 235114634129161731
BaseRepresentation
bin10111001100101111111110…
…101101010101100101000010
3111101021002102020202112221020
4113030233332231111211002
5101333134420140223320
61001000255051010310
730330340532243454
oct2714577655254502
9441232366675836
10102031221414210
112a56821a5a3620
12b53a401739996
1344c166cb238ba
141b2a4a20122d4
15bbe0ed741940
hex5ccbfeb55942

102031221414210 has 128 divisors (see below), whose sum is σ = 267779750031360. Its totient is φ = 24675288422400.

The previous prime is 102031221414203. The next prime is 102031221414211. The reversal of 102031221414210 is 12414122130201.

102031221414210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102031221414211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 630789045 + ... + 630950775.

It is an arithmetic number, because the mean of its divisors is an integer number (2092029297120).

Almost surely, 2102031221414210 is an apocalyptic number.

102031221414210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102031221414210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133889875015680).

102031221414210 is an abundant number, since it is smaller than the sum of its proper divisors (165748528617150).

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

102031221414210 is a wasteful number, since it uses less digits than its factorization.

102031221414210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166344.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102031221414210 its reverse (12414122130201), we get a palindrome (114445343544411).

The spelling of 102031221414210 in words is "one hundred two trillion, thirty-one billion, two hundred twenty-one million, four hundred fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 463 926 1389 2315 2778 4129 4630 5093 6945 8258 10186 12387 13890 15279 20645 24774 25465 30558 41290 45419 50930 61935 76395 90838 123870 136257 152790 161731 227095 272514 323462 454190 485193 681285 808655 970386 1362570 1617310 1779041 1911727 2425965 3558082 3823454 4851930 5337123 5735181 8895205 9558635 10674246 11470362 17790410 19117270 21028997 26685615 28675905 42057994 53371230 57351810 63086991 74881453 105144985 126173982 149762906 210289970 224644359 315434955 374407265 449288718 630869910 667787299 748814530 823695983 1123221795 1335574598 1647391966 2003361897 2246443590 2471087949 3338936495 4006723794 4118479915 4942175898 6677872990 7345660289 8236959830 10016809485 12355439745 14691320578 20033618970 22036980867 24710879490 36728301445 44073961734 73456602890 110184904335 220369808670 309185519437 618371038874 927556558311 1545927597185 1855113116622 3091855194370 3401040713807 4637782791555 6802081427614 9275565583110 10203122141421 17005203569035 20406244282842 34010407138070 51015610707105 102031221414210