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100132010202 = 23729376013697
BaseRepresentation
bin101110101000001010…
…1010011100011011010
3100120110101001011012110
41131100111103203122
53120032243311302
6114000000253150
710143236020620
oct1352025234332
9316411034173
10100132010202
1139513a00344
12174a60111b6
139599c801a3
144bbc7c5510
152910b13b6c
hex17505538da

100132010202 has 128 divisors (see below), whose sum is σ = 243634890240. Its totient is φ = 26824089600.

The previous prime is 100132010197. The next prime is 100132010287. The reversal of 100132010202 is 202010231001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27082818 + ... + 27086514.

It is an arithmetic number, because the mean of its divisors is an integer number (1903397580).

Almost surely, 2100132010202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100132010202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121817445120).

100132010202 is an abundant number, since it is smaller than the sum of its proper divisors (143502880038).

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

100132010202 is a wasteful number, since it uses less digits than its factorization.

100132010202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100132010202 its reverse (202010231001), we get a palindrome (302142241203).

The spelling of 100132010202 in words is "one hundred billion, one hundred thirty-two million, ten thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 29 37 42 58 74 87 111 174 203 222 259 406 518 601 609 777 1073 1202 1218 1554 1803 2146 3219 3606 3697 4207 6438 7394 7511 8414 11091 12621 15022 17429 22182 22237 22533 25242 25879 34858 44474 45066 51758 52287 66711 77637 104574 107213 122003 133422 136789 155274 155659 214426 244006 273578 311318 321639 366009 410367 466977 643278 644873 732018 750491 820734 933954 957523 1289746 1500982 1915046 1934619 2221897 2251473 2872569 3869238 3966881 4443794 4502946 4514111 5745138 6665691 7933762 9028222 11900643 13331382 13542333 15553279 23801286 27084666 27768167 31106558 46659837 55536334 64435013 82210189 83304501 93319674 128870026 164420378 166609002 193305039 246630567 386610078 451045091 493261134 575471323 902090182 1150942646 1353135273 1726413969 2384095481 2706270546 3452827938 4768190962 7152286443 14304572886 16688668367 33377336734 50066005101 100132010202