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100021203100 = 225271331734673
BaseRepresentation
bin101110100100110111…
…0100111000010011100
3100120011122112120102201
41131021232213002130
53114320411444400
6113541001301244
710140422125060
oct1351156470234
9316148476381
10100021203100
11394673a8325
1217474a94824
139580024660
144babbbdaa0
15290602706a
hex1749ba709c

100021203100 has 144 divisors (see below), whose sum is σ = 267983972928. Its totient is φ = 31554293760.

The previous prime is 100021203097. The next prime is 100021203167. The reversal of 100021203100 is 1302120001.

It is a super-2 number, since 2×1000212031002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2867364 + ... + 2902036.

It is an arithmetic number, because the mean of its divisors is an integer number (1860999812).

Almost surely, 2100021203100 is an apocalyptic number.

100021203100 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 100021203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133991986464).

100021203100 is an abundant number, since it is smaller than the sum of its proper divisors (167962769828).

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

100021203100 is a wasteful number, since it uses less digits than its factorization.

100021203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35024 (or 35017 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100021203100 its reverse (1302120001), we get a palindrome (101323323101).

The spelling of 100021203100 in words is "one hundred billion, twenty-one million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 317 325 350 364 455 634 650 700 910 1268 1300 1585 1820 2219 2275 3170 4121 4438 4550 6340 7925 8242 8876 9100 11095 15850 16484 20605 22190 28847 31700 34673 41210 44380 55475 57694 69346 82420 103025 110950 115388 138692 144235 173365 206050 221900 242711 288470 346730 412100 450749 485422 576940 693460 721175 866825 901498 970844 1213555 1442350 1733650 1802996 2253745 2427110 2884700 3155243 3467300 4507490 4854220 6067775 6310486 9014980 10991341 11268725 12135550 12620972 15776215 21982682 22537450 24271100 31552430 43965364 45074900 54956705 63104860 76939387 78881075 109913410 142887433 153878774 157762150 219826820 274783525 285774866 307757548 315524300 384696935 549567050 571549732 714437165 769393870 1000212031 1099134100 1428874330 1538787740 1923484675 2000424062 2857748660 3572185825 3846969350 4000848124 5001060155 7144371650 7693938700 10002120310 14288743300 20004240620 25005300775 50010601550 100021203100