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1020202000100 = 2252232813494523
BaseRepresentation
bin11101101100010001100…
…01110001111011100100
310121112022122001100202222
432312020301301323210
5113203333203000400
62100401353251512
7133464361630343
oct16661061617344
93545278040688
101020202000100
11363735483648
1214587b703b98
137528777ac5a
14375414b1b5a
151b8100d4185
hexed88c71ee4

1020202000100 has 144 divisors (see below), whose sum is σ = 2325469910400. Its totient is φ = 387748838400.

The previous prime is 1020202000099. The next prime is 1020202000163. The reversal of 1020202000100 is 10002020201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225556439 + ... + 225560961.

It is an arithmetic number, because the mean of its divisors is an integer number (16149096600).

Almost surely, 21020202000100 is an apocalyptic number.

1020202000100 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 1020202000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162734955200).

1020202000100 is an abundant number, since it is smaller than the sum of its proper divisors (1305267910300).

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

1020202000100 is a wasteful number, since it uses less digits than its factorization.

1020202000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5183 counting only the distinct ones).

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

Adding to 1020202000100 its reverse (10002020201), we get a palindrome (1030204020301).

The spelling of 1020202000100 in words is "one trillion, twenty billion, two hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 281 349 460 562 575 698 1124 1150 1396 1405 1745 2300 2810 3490 4523 5620 6463 6980 7025 8027 8725 9046 12926 14050 16054 17450 18092 22615 25852 28100 32108 32315 34900 40135 45230 64630 80270 90460 98069 104029 113075 129260 160540 161575 196138 200675 208058 226150 323150 392276 401350 416116 452300 490345 520145 646300 802700 980690 1040290 1270963 1578527 1961380 2080580 2255587 2451725 2541926 2600725 3157054 4511174 4903450 5083852 5201450 6314108 6354815 7892635 9022348 9806900 10402900 11277935 12709630 15785270 22555870 25419260 29232149 31570540 31774075 36306121 39463175 45111740 56389675 58464298 63548150 72612242 78926350 112779350 116928596 127096300 145224484 146160745 157852700 181530605 225558700 292321490 363061210 443566087 584642980 726122420 730803725 887132174 907653025 1461607450 1774264348 1815306050 2217830435 2923214900 3630612100 4435660870 8871321740 10202020001 11089152175 20404040002 22178304350 40808080004 44356608700 51010100005 102020200010 204040400020 255050500025 510101000050 1020202000100