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2202101212101 = 3731411672711823
BaseRepresentation
bin100000000010110111011…
…101011110001111000101
321210112000012221011120220
4200002313131132033011
5242034400402241401
64403344211214553
7315045056314620
oct40026735361705
97715005834526
102202101212101
117799a67a880a
122b69472a7459
1312c870ca6ccb
1478821a54db7
153c435b58336
hex200b775e3c5

2202101212101 has 128 divisors (see below), whose sum is σ = 3584695468032. Its totient is φ = 1175933376000.

The previous prime is 2202101212061. The next prime is 2202101212109. The reversal of 2202101212101 is 1012121012022.

2202101212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2202101212101 - 213 = 2202101203909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202101212109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1207953676 + ... + 1207955498.

It is an arithmetic number, because the mean of its divisors is an integer number (28005433344).

Almost surely, 22202101212101 is an apocalyptic number.

2202101212101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2202101212101 is a deficient number, since it is larger than the sum of its proper divisors (1382594255931).

2202101212101 is a wasteful number, since it uses less digits than its factorization.

2202101212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2202101212101 its reverse (1012121012022), we get a palindrome (3214222224123).

The spelling of 2202101212101 in words is "two trillion, two hundred two billion, one hundred one million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 7 21 31 41 93 123 167 217 271 287 501 651 813 861 1169 1271 1823 1897 3507 3813 5177 5469 5691 6847 8401 8897 11111 12761 15531 20541 25203 26691 33333 36239 38283 45257 47929 56513 58807 74743 77777 108717 135771 143787 169539 176421 212257 224229 233331 304441 316799 344441 395591 494033 523201 636771 913323 950397 1033323 1186773 1402967 1482099 1485799 1569603 1855537 2131087 2317033 2411087 3458231 4208901 4457397 5566611 6393261 6951099 7233261 9437671 9820769 10374693 12482081 12988759 15315023 16219231 20255353 28313013 29462307 37446243 38966277 45945069 48657693 57521647 60766059 66063697 82503511 87374567 107205161 141787471 172564941 198191091 247510533 262123701 321615483 386944511 402651529 425362413 577524577 627915943 1160833533 1207954587 1732573731 1883747829 2557608841 2708611577 3382643951 4395411601 7672826523 8125834731 10147931853 13186234803 17903261887 23678507657 53709785661 71035522971 104861962481 314585887443 734033737367 2202101212101