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214011411210 = 232531463165673
BaseRepresentation
bin1100011101010000010…
…0101111101100001010
3202110101211020010022100
43013110010233230022
512001243410124320
6242152051134230
721314254660242
oct3072404575412
9673354203270
10214011411210
1182841953893
1235587ba4376
13172480c503c
14a502cc8b22
1558785ad790
hex31d412fb0a

214011411210 has 96 divisors (see below), whose sum is σ = 575623047168. Its totient is φ = 55109134080.

The previous prime is 214011411199. The next prime is 214011411217. The reversal of 214011411210 is 12114110412.

214011411210 is a `hidden beast` number, since 2 + 1 + 40 + 1 + 1 + 411 + 210 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (214011411217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208934 + ... + 1374606.

It is an arithmetic number, because the mean of its divisors is an integer number (5996073408).

Almost surely, 2214011411210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214011411210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287811523584).

214011411210 is an abundant number, since it is smaller than the sum of its proper divisors (361611635958).

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

214011411210 is a wasteful number, since it uses less digits than its factorization.

214011411210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166180 (or 166177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 214011411210 its reverse (12114110412), we get a palindrome (226125521622).

The spelling of 214011411210 in words is "two hundred fourteen billion, eleven million, four hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 463 465 558 926 930 1389 1395 2315 2778 2790 4167 4630 6945 8334 13890 14353 20835 28706 41670 43059 71765 86118 129177 143530 165673 215295 258354 331346 430590 497019 645885 828365 994038 1291770 1491057 1656730 2485095 2982114 4970190 5135863 7455285 10271726 14910570 15407589 25679315 30815178 46222767 51358630 76706599 77037945 92445534 153413198 154075890 230119797 231113835 383532995 460239594 462227670 690359391 767065990 1150598985 1380718782 2301197970 2377904569 3451796955 4755809138 6903593910 7133713707 11889522845 14267427414 21401141121 23779045690 35668568535 42802282242 71337137070 107005705605 214011411210