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210002000211102 = 231147672402342061
BaseRepresentation
bin101111101111111011100110…
…100111111110110010011110
31000112112222212110121120012110
4233233323212213332302132
5210011133044023223402
62022345330450014450
762143100222333301
oct5757734647766236
91015488773546173
10210002000211102
1160a053914185a0
121b677964b77426
139024146936868
1439c0218664b38
1519429798d756c
hexbefee69fec9e

210002000211102 has 128 divisors (see below), whose sum is σ = 474949987319808. Its totient is φ = 61349382230400.

The previous prime is 210002000210999. The next prime is 210002000211193. The reversal of 210002000211102 is 201112000200012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4992775152 + ... + 4992817212.

It is an arithmetic number, because the mean of its divisors is an integer number (3710546775936).

Almost surely, 2210002000211102 is an apocalyptic number.

210002000211102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210002000211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237474993659904).

210002000211102 is an abundant number, since it is smaller than the sum of its proper divisors (264947987108706).

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

210002000211102 is a wasteful number, since it uses less digits than its factorization.

210002000211102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66214.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210002000211102 its reverse (201112000200012), we get a palindrome (411114000411114).

The spelling of 210002000211102 in words is "two hundred ten trillion, two billion, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 47 66 67 94 134 141 201 282 402 517 737 1034 1474 1551 2211 3102 3149 4422 6298 9447 18894 24023 34639 42061 48046 69278 72069 84122 103917 126183 144138 207834 252366 264253 462671 528506 792759 925342 1129081 1388013 1585518 1609541 1976867 2258162 2776026 2818087 3219082 3387243 3953734 4828623 5636174 5930601 6774486 8454261 9657246 11861202 12419891 16908522 17704951 21745537 24839782 30998957 35409902 37259673 43491074 53114853 61997914 65236611 74519346 75648427 92996871 106229706 130473222 132450089 151296854 185993742 226945281 264900178 397350267 453890562 794700534 832132697 1010431403 1456950979 1664265394 2020862806 2496398091 2913901958 3031294209 4370852937 4992796182 6062588418 8741705874 11114745433 22229490866 33344236299 47490275941 66688472598 67698904001 94980551882 135397808002 142470827823 203096712003 284941655646 406193424006 522393035351 744687944011 1044786070702 1489375888022 1567179106053 2234063832033 3134358212106 3181848488047 4468127664066 6363696976094 9545545464141 19091090928282 35000333368517 70000666737034 105001000105551 210002000211102