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10000212110200 = 23521311293406763
BaseRepresentation
bin1001000110000101101100…
…0101110010101101111000
31022102000021222100120022201
42101201123011302231320
52302320413300011300
633134011203155544
72051330402300344
oct221413305625570
938360258316281
1010000212110200
113206080038604
121156136975bb4
13577029092a10
14268027384624
151251dd89066a
hex9185b172b78

10000212110200 has 96 divisors (see below), whose sum is σ = 25061178013200. Its totient is φ = 3689114434560.

The previous prime is 10000212110159. The next prime is 10000212110209. The reversal of 10000212110200 is 201121200001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000212110209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232019 + ... + 4638781.

Almost surely, 210000212110200 is an apocalyptic number.

10000212110200 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 10000212110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530589006600).

10000212110200 is an abundant number, since it is smaller than the sum of its proper divisors (15060965903000).

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

10000212110200 is a wasteful number, since it uses less digits than its factorization.

10000212110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407921 (or 3407912 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000212110200 its reverse (201121200001), we get a palindrome (10201333310201).

The spelling of 10000212110200 in words is "ten trillion, two hundred twelve million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1129 1300 2258 2600 4516 5645 9032 11290 14677 22580 28225 29354 45160 56450 58708 73385 112900 117416 146770 225800 293540 366925 587080 733850 1467700 2935400 3406763 6813526 13627052 17033815 27254104 34067630 44287919 68135260 85169075 88575838 136270520 170338150 177151676 221439595 340676300 354303352 442879190 681352600 885758380 1107197975 1771516760 2214395950 3846235427 4428791900 7692470854 8857583800 15384941708 19231177135 30769883416 38462354270 50001060551 76924708540 96155885675 100002121102 153849417080 192311771350 200004242204 250005302755 384623542700 400008484408 500010605510 769247085400 1000021211020 1250026513775 2000042422040 2500053027550 5000106055100 10000212110200