Search a number
-
+
210000021211002 = 2311371011137534837
BaseRepresentation
bin101111101111111001110000…
…101010101100011101111010
31000112112210202112202221102110
4233233321300222230131322
5210011120020412223002
62022344402233113150
762143000202163561
oct5757716052543572
91015483675687373
10210000021211002
1160a04566314520
121b6774b22587b6
139023bbc932a99
1439c00ab8b4bd8
1519428b0cc1e6c
hexbefe70aac77a

210000021211002 has 128 divisors (see below), whose sum is σ = 479429806756608. Its totient is φ = 60760917504000.

The previous prime is 210000021210983. The next prime is 210000021211031. The reversal of 210000021211002 is 200112120000012.

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, 24103128 + ... + 31637964.

It is an arithmetic number, because the mean of its divisors is an integer number (3745545365286).

Almost surely, 2210000021211002 is an apocalyptic number.

210000021211002 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 210000021211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239714903378304).

210000021211002 is an abundant number, since it is smaller than the sum of its proper divisors (269429785545606).

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

210000021211002 is a wasteful number, since it uses less digits than its factorization.

210000021211002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535104.

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

Adding to 210000021211002 its reverse (200112120000012), we get a palindrome (410112141211014).

The spelling of 210000021211002 in words is "two hundred ten trillion, twenty-one million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 11 22 33 37 66 74 101 111 113 202 222 226 303 339 407 606 678 814 1111 1221 1243 2222 2442 2486 3333 3729 3737 4181 6666 7458 7474 8362 11211 11413 12543 22422 22826 25086 34239 41107 45991 68478 82214 91982 123321 125543 137973 246642 251086 275946 376629 422281 753258 844562 1266843 2533686 4645091 7534837 9290182 13935273 15069674 22604511 27870546 45209022 82883207 165766414 248649621 278788969 497299242 557577938 761018537 836366907 851436581 1522037074 1672733814 1702873162 2283055611 2554309743 3066678659 4566111222 5108619486 6133357318 8371203907 9200035977 9365802391 16742407814 18400071954 18731604782 25113611721 28097407173 28157685869 31503153497 50227223442 56194814346 56315371738 63006306994 84473057607 85995094681 94509460491 168946115214 171990189362 189018920982 257985284043 309734544559 346534688467 515970568086 619469089118 693069376934 929203633677 945946041491 1039604065401 1858407267354 1891892082982 2079208130802 2837838124473 3181818503197 5675676248946 6363637006394 9545455509591 19090911019182 35000003535167 70000007070334 105000010605501 210000021211002