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10000100012202 = 2344713724139779
BaseRepresentation
bin1001000110000101010001…
…1010001011000010101010
31022102000000011102101210000
42101201110122023002222
52302320201100342302
633133552120403430
72051324541420126
oct221412432130252
938360004371700
1010000100012202
113206022833733
121156105316576
1357700baa4741
14268016524586
151251d3aeb31c
hex9185468b0aa

10000100012202 has 160 divisors (see below), whose sum is σ = 23147659941120. Its totient is φ = 3225111137280.

The previous prime is 10000100012197. The next prime is 10000100012291. The reversal of 10000100012202 is 20221000100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 251371549 + ... + 251411327.

It is an arithmetic number, because the mean of its divisors is an integer number (144672874632).

Almost surely, 210000100012202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000100012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11573829970560).

10000100012202 is an abundant number, since it is smaller than the sum of its proper divisors (13147559928918).

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

10000100012202 is a wasteful number, since it uses less digits than its factorization.

10000100012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40218 (or 40209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000100012202 its reverse (20221000100001), we get a palindrome (30221100112203).

The spelling of 10000100012202 in words is "ten trillion, one hundred million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 137 141 162 241 274 282 411 423 482 723 822 846 1233 1269 1446 2169 2466 2538 3699 3807 4338 6439 6507 7398 7614 11097 11327 12878 13014 19317 19521 22194 22654 33017 33981 38634 39042 39779 57951 66034 67962 79558 99051 101943 115902 119337 173853 198102 203886 238674 297153 305829 347706 358011 521559 594306 611658 716022 891459 917487 1043118 1074033 1551799 1782918 1834974 1869613 2148066 2674377 3103598 3222099 3739226 4655397 5348754 5449723 5608839 6444198 9310794 9586739 10899446 11217678 13966191 16349169 16826517 19173478 27932382 28760217 32698338 33653034 41898573 49047507 50479551 57520434 83797146 86280651 98095014 100959102 125695719 147142521 151438653 172561302 251391438 256136981 258841953 294285042 302877306 441427563 450576733 512273962 517683906 768410943 776525859 882855126 901153466 1313383243 1351730199 1536821886 1553051718 2305232829 2626766486 2703460398 3940149729 4055190597 4610465658 6915698487 7880299458 8110381194 11820449187 12165571791 13831396974 20747095461 23640898374 24331143582 35461347561 36496715373 41494190922 61729012421 70922695122 72993430746 106384042683 123458024842 185187037263 212768085366 370374074526 555561111789 1111122223578 1666683335367 3333366670734 5000050006101 10000100012202