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100122212010 = 2353724751869
BaseRepresentation
bin101110100111110111…
…1111011011010101010
3100120102200121100121110
41131033233323122222
53120022241241020
6113555010251150
710143056521512
oct1351757733252
9316380540543
10100122212010
1139509418867
12174a2886ab6
139597c2c442
144bbb394842
15290ed2a8e0
hex174fbfb6aa

100122212010 has 96 divisors (see below), whose sum is σ = 252222647040. Its totient is φ = 25424448768.

The previous prime is 100122211999. The next prime is 100122212017. The reversal of 100122212010 is 10212221001.

It is not an unprimeable number, because it can be changed into a prime (100122212017) 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, 1904356 + ... + 1956224.

It is an arithmetic number, because the mean of its divisors is an integer number (2627319240).

Almost surely, 2100122212010 is an apocalyptic number.

100122212010 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 100122212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126111323520).

100122212010 is an abundant number, since it is smaller than the sum of its proper divisors (152100435030).

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

100122212010 is a wasteful number, since it uses less digits than its factorization.

100122212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52000 (or 51963 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100122212010 its reverse (10212221001), we get a palindrome (110334433011).

The spelling of 100122212010 in words is "one hundred billion, one hundred twenty-two million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 111 141 185 222 235 282 370 470 555 705 1110 1369 1410 1739 2738 3478 4107 5217 6845 8214 8695 10434 13690 17390 20535 26085 41070 51869 52170 64343 103738 128686 155607 193029 259345 311214 321715 386058 518690 643430 778035 965145 1556070 1919153 1930290 2437843 3838306 4875686 5757459 7313529 9595765 11514918 12189215 14627058 19191530 24378430 28787295 36567645 57574590 71008661 73135290 90200191 142017322 180400382 213025983 270600573 355043305 426051966 451000955 541201146 710086610 902001910 1065129915 1353002865 2130259830 2706005730 3337407067 6674814134 10012221201 16687035335 20024442402 33374070670 50061106005 100122212010