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100000021212 = 223271337825001
BaseRepresentation
bin101110100100001110…
…1110011101011011100
3100120010011200102100100
41131020131303223130
53114300001134322
6113534523301100
710140044104230
oct1351035635334
9316104612310
10100000021212
1139456450033
121746997a790
1395788192b0
144ba90685c0
152904240dac
hex1748773adc

100000021212 has 144 divisors (see below), whose sum is σ = 319519974592. Its totient is φ = 25660800000.

The previous prime is 100000021211. The next prime is 100000021217. The reversal of 100000021212 is 212120000001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100000021194 and 100000021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000021211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291289 + ... + 533712.

Almost surely, 2100000021212 is an apocalyptic number.

100000021212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100000021212 is an abundant number, since it is smaller than the sum of its proper divisors (219519953380).

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

100000021212 is a wasteful number, since it uses less digits than its factorization.

100000021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825068 (or 825063 counting only the distinct ones).

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

Adding to 100000021212 its reverse (212120000001), we get a palindrome (312120021213).

The spelling of 100000021212 in words is "one hundred billion, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 111 117 126 148 156 182 222 234 252 259 273 333 364 444 468 481 518 546 666 777 819 962 1036 1092 1332 1443 1554 1638 1924 2331 2886 3108 3276 3367 4329 4662 5772 6734 8658 9324 10101 13468 17316 20202 30303 40404 60606 121212 825001 1650002 2475003 3300004 4950006 5775007 7425009 9900012 10725013 11550014 14850018 17325021 21450026 23100028 29700036 30525037 32175039 34650042 42900052 51975063 61050074 64350078 69300084 75075091 91575111 96525117 103950126 122100148 128700156 150150182 183150222 193050234 207900252 213675259 225225273 274725333 300300364 366300444 386100468 396825481 427350518 450450546 549450666 641025777 675675819 793650962 854701036 900901092 1098901332 1190476443 1282051554 1351351638 1587301924 1923077331 2380952886 2564103108 2702703276 2777778367 3571429329 3846154662 4761905772 5555556734 7142858658 7692309324 8333335101 11111113468 14285717316 16666670202 25000005303 33333340404 50000010606 100000021212