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12001300100020 = 22571117414476193
BaseRepresentation
bin1010111010100100010100…
…1110101011001110110100
31120111022110020110000202001
42232221011032223032310
53033112130311200040
641305153211425044
72346031255460410
oct256510516531664
946438406400661
1012001300100020
1139077a5040230
121419b23155184
13690943b6123a
142d6c1a527d40
1515c2ac13059a
hexaea453ab3b4

12001300100020 has 96 divisors (see below), whose sum is σ = 31439640750336. Its totient is φ = 3738515558400.

The previous prime is 12001300099991. The next prime is 12001300100059. The reversal of 12001300100020 is 2000100310021.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443044 + ... + 4919236.

It is an arithmetic number, because the mean of its divisors is an integer number (327496257816).

Almost surely, 212001300100020 is an apocalyptic number.

12001300100020 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 12001300100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15719820375168).

12001300100020 is an abundant number, since it is smaller than the sum of its proper divisors (19438340650316).

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

12001300100020 is a wasteful number, since it uses less digits than its factorization.

12001300100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477961 (or 4477959 counting only the distinct ones).

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

Adding to 12001300100020 its reverse (2000100310021), we get a palindrome (14001400410041).

The spelling of 12001300100020 in words is "twelve trillion, one billion, three hundred million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1741 3482 6964 8705 12187 17410 19151 24374 34820 38302 48748 60935 76604 95755 121870 134057 191510 243740 268114 383020 536228 670285 1340570 2681140 4476193 8952386 17904772 22380965 31333351 44761930 49238123 62666702 89523860 98476246 125333404 156666755 196952492 246190615 313333510 344666861 492381230 626667020 689333722 984762460 1378667444 1723334305 3446668610 6893337220 7793052013 15586104026 31172208052 38965260065 54551364091 77930520130 85723572143 109102728182 155861040260 171447144286 218205456364 272756820455 342894288572 428617860715 545513640910 600065005001 857235721430 1091027281820 1200130010002 1714471442860 2400260020004 3000325025005 6000650050010 12001300100020