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120202000100 = 225271341322171
BaseRepresentation
bin110111111110010011…
…0001111011011100100
3102111021002021021112122
41233330212033123210
53432133203000400
6131115310005112
711453501066660
oct1577446173344
9374232237478
10120202000100
1146a82993856
121b3674a6798
13b447cc1b60
145b640c98a0
1531d7aa7685
hex1bfc98f6e4

120202000100 has 144 divisors (see below), whose sum is σ = 328862868096. Its totient is φ = 37113984000.

The previous prime is 120202000081. The next prime is 120202000109. The reversal of 120202000100 is 1000202021.

It is not an unprimeable number, because it can be changed into a prime (120202000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212015 + ... + 534185.

Almost surely, 2120202000100 is an apocalyptic number.

120202000100 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 120202000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164431434048).

120202000100 is an abundant number, since it is smaller than the sum of its proper divisors (208660867996).

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

120202000100 is a wasteful number, since it uses less digits than its factorization.

120202000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322246 (or 322239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120202000100 its reverse (1000202021), we get a palindrome (121202202121).

The spelling of 120202000100 in words is "one hundred twenty billion, two hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 41 50 52 65 70 82 91 100 130 140 164 175 182 205 260 287 325 350 364 410 455 533 574 650 700 820 910 1025 1066 1148 1300 1435 1820 2050 2132 2275 2665 2870 3731 4100 4550 5330 5740 7175 7462 9100 10660 13325 14350 14924 18655 26650 28700 37310 53300 74620 93275 186550 322171 373100 644342 1288684 1610855 2255197 3221710 4188223 4510394 6443420 8054275 8376446 9020788 11275985 13209011 16108550 16752892 20941115 22551970 26418022 29317561 32217100 41882230 45103940 52836044 56379925 58635122 66045055 83764460 92463077 104705575 112759850 117270244 132090110 146587805 171717143 184926154 209411150 225519700 264180220 293175610 330225275 343434286 369852308 418822300 462315385 586351220 660450550 686868572 732939025 858585715 924630770 1202020001 1320901100 1465878050 1717171430 1849261540 2311576925 2404040002 2931756100 3434342860 4292928575 4623153850 4808080004 6010100005 8585857150 9246307700 12020200010 17171714300 24040400020 30050500025 60101000050 120202000100