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2202100002012 = 2231729388995713
BaseRepresentation
bin100000000010110111011…
…000110110110011011100
321210112000010122200122210
4200002313120312303130
5242034400100031022
64403344125240420
7315045043114641
oct40026730666334
97715003580583
102202100002012
117799a6051639
122b6946a03110
1312c870972291
147882181bdc8
153c4359b9a0c
hex200b7636cdc

2202100002012 has 96 divisors (see below), whose sum is σ = 5629591195200. Its totient is φ = 666853834752.

The previous prime is 2202100002007. The next prime is 2202100002059. The reversal of 2202100002012 is 2102000012022.

It is a super-2 number, since 2×22021000020122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22959468 + ... + 23055180.

It is an arithmetic number, because the mean of its divisors is an integer number (58641574950).

Almost surely, 22202100002012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202100002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814795597600).

2202100002012 is an abundant number, since it is smaller than the sum of its proper divisors (3427491193188).

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

2202100002012 is a wasteful number, since it uses less digits than its factorization.

2202100002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99655 (or 99653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2202100002012 its reverse (2102000012022), we get a palindrome (4304100014034).

The spelling of 2202100002012 in words is "two trillion, two hundred two billion, one hundred million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 3889 5916 7778 11667 15556 23334 46668 66113 95713 112781 132226 191426 198339 225562 264452 287139 338343 382852 396678 451124 574278 676686 793356 1148556 1353372 1627121 1917277 2775677 3254242 3834554 4881363 5551354 5751831 6508484 7669108 8327031 9762726 11102708 11503662 16654062 19525452 23007324 33308124 47186509 94373018 141559527 188746036 283119054 372227857 566238108 744455714 1116683571 1488911428 2233367142 4466734284 6327873569 10794607853 12655747138 18983620707 21589215706 25311494276 32383823559 37967241414 43178431412 64767647118 75934482828 129535294236 183508333501 367016667002 550525000503 734033334004 1101050001006 2202100002012