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210100021010010 = 23352937097234483
BaseRepresentation
bin101111110001010110111001…
…000111101001111001011010
31000112220100212201001001222000
4233301112321013221321122
5210014234320334310020
62022502341151541430
762153140244354235
oct5761267107517132
91015810781031860
10210100021010010
1160a42a1162260a
121b69295bb2a876
1390304683a1ba1
1439c4c768c241c
1519452b4ebc090
hexbf15b91e9e5a

210100021010010 has 128 divisors (see below), whose sum is σ = 579742609824000. Its totient is φ = 54080125860096.

The previous prime is 210100021009999. The next prime is 210100021010021. The reversal of 210100021010010 is 10010120001012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210100021009999) and next prime (210100021010021).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210100021009974 and 210100021010001.

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, 25424229 + ... + 32658711.

It is an arithmetic number, because the mean of its divisors is an integer number (4529239139250).

Almost surely, 2210100021010010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210100021010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289871304912000).

210100021010010 is an abundant number, since it is smaller than the sum of its proper divisors (369642588813990).

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

210100021010010 is a wasteful number, since it uses less digits than its factorization.

210100021010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238237 (or 7238231 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210100021010010 its reverse (10010120001012), we get a palindrome (220110141011022).

The spelling of 210100021010010 in words is "two hundred ten trillion, one hundred billion, twenty-one million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3709 3915 7418 7830 11127 18545 22254 33381 37090 55635 66762 100143 107561 111270 166905 200286 215122 322683 333810 500715 537805 645366 968049 1001430 1075610 1613415 1936098 2904147 3226830 4840245 5808294 7234483 9680490 14468966 14520735 21703449 29041470 36172415 43406898 65110347 72344830 108517245 130220694 195331041 209800007 217034490 325551735 390662082 419600014 629400021 651103470 976655205 1049000035 1258800042 1888200063 1953310410 2098000070 3147000105 3776400126 5664600189 6294000210 9441000315 11329200378 18882000630 26832697447 28323000945 53665394894 56646001890 80498092341 134163487235 160996184682 241494277023 268326974470 402490461705 482988554046 724482831069 778148225963 804980923410 1207471385115 1448965662138 1556296451926 2334444677889 2414942770230 3622414155345 3890741129815 4668889355778 7003334033667 7244828310690 7781482259630 11672223389445 14006668067334 21010002101001 23344446778890 35016670168335 42020004202002 70033340336670 105050010505005 210100021010010