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12202100001 = 32721323293191
BaseRepresentation
bin10110101110100110…
…10100010100100001
31011111101101220102200
423113103110110201
5144442214200001
65334445203413
7611244065400
oct132723242441
934441356380
1012202100001
1151a1849373
122446560569
1311c5ca5920
1483a7c9637
154b6392086
hex2d74d4521

12202100001 has 144 divisors (see below), whose sum is σ = 23841941760. Its totient is φ = 5942280960.

The previous prime is 12202099997. The next prime is 12202100051. The reversal of 12202100001 is 10000120221.

It is not a de Polignac number, because 12202100001 - 22 = 12202099997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12202100051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3822316 + ... + 3825506.

It is an arithmetic number, because the mean of its divisors is an integer number (165569040).

Almost surely, 212202100001 is an apocalyptic number.

It is an amenable number.

12202100001 is a deficient number, since it is larger than the sum of its proper divisors (11639841759).

12202100001 is a wasteful number, since it uses less digits than its factorization.

12202100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3266 counting only the distinct ones).

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

Adding to 12202100001 its reverse (10000120221), we get a palindrome (22202220222).

The spelling of 12202100001 in words is "twelve billion, two hundred two million, one hundred thousand, one".

Divisors: 1 3 7 9 13 21 23 29 39 49 63 69 87 91 117 147 161 203 207 261 273 299 377 441 483 609 637 667 819 897 1127 1131 1421 1449 1827 1911 2001 2093 2639 2691 3191 3381 3393 4263 4669 5733 6003 6279 7917 8671 9573 10143 12789 14007 14651 18473 18837 22337 23751 26013 28719 32683 41483 42021 43953 55419 60697 67011 73393 78039 92539 98049 124449 131859 156359 166257 182091 201033 220179 277617 290381 294147 373347 424879 469077 513751 546273 647773 660537 832851 871143 954109 1203007 1274637 1407231 1541253 1943319 2032667 2128397 2613429 2862327 3596257 3609021 3823911 4534411 4623759 5829957 6098001 6385191 6678763 8421049 8586981 10788771 10827063 13603233 14898779 18294003 19155573 20036289 25263147 27669161 32366313 40809699 44696337 46751341 58947343 60108867 75789441 83007483 104291453 134089011 140254023 176842029 193684127 249022449 312874359 420762069 530526087 581052381 938623077 1355788889 1743157143 4067366667 12202100001