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211421041002 = 233231093075087
BaseRepresentation
bin1100010011100110101…
…1010001000101101010
3202012201021222200102000
43010321223101011222
511430442241303002
6241043034351430
721163132124433
oct3047153210552
9665637880360
10211421041002
1181732736366
1234b8458b576
1316c245442c2
14a338c7248a
155775e8161c
hex3139ad116a

211421041002 has 128 divisors (see below), whose sum is σ = 496458547200. Its totient is φ = 66560522688.

The previous prime is 211421040997. The next prime is 211421041019. The reversal of 211421041002 is 200140124112.

211421041002 is a `hidden beast` number, since 211 + 42 + 1 + 0 + 410 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 41558503 + ... + 41563589.

It is an arithmetic number, because the mean of its divisors is an integer number (3878582400).

Almost surely, 2211421041002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211421041002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248229273600).

211421041002 is an abundant number, since it is smaller than the sum of its proper divisors (285037506198).

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

211421041002 is a wasteful number, since it uses less digits than its factorization.

211421041002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211421041002 its reverse (200140124112), we get a palindrome (411561165114).

The spelling of 211421041002 in words is "two hundred eleven billion, four hundred twenty-one million, forty-one thousand, two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 109 138 207 218 307 327 414 614 621 654 921 981 1242 1842 1962 2507 2763 2943 5014 5087 5526 5886 7061 7521 8289 10174 14122 15042 15261 16578 21183 22563 30522 33463 42366 45126 45783 63549 66926 67689 91566 100389 117001 127098 135378 137349 190647 200778 234002 274698 301167 351003 381294 554483 602334 702006 769649 903501 1053009 1108966 1539298 1561709 1663449 1807002 2106018 2308947 3123418 3159027 3326898 4617894 4685127 4990347 6318054 6926841 9370254 9980694 12753109 13853682 14055381 14971041 20780523 25506218 28110762 29942082 35919307 38259327 41561046 42166143 71838614 76518654 84332286 107757921 114777981 170226281 215515842 229555962 323273763 340452562 344333943 510678843 646547526 688667886 969821289 1021357686 1532036529 1939642578 3064073058 3915204463 4596109587 7830408926 9192219174 11745613389 23491226778 35236840167 70473680334 105710520501 211421041002