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211031245151400 = 233521372567290087
BaseRepresentation
bin101111111110111010001010…
…011001110101110010101000
31000200012101112022112212212110
4233332322022121311302220
5210130013442224321100
62024454225441042320
762310334661100042
oct5776721231656250
91020171468485773
10211031245151400
1161271937350a33
121b8033290263a0
13909a212a1a9ab
143a17d76b28a92
15195e61882b250
hexbfee8a675ca8

211031245151400 has 96 divisors (see below), whose sum is σ = 658972019787840. Its totient is φ = 55864232271360.

The previous prime is 211031245151387. The next prime is 211031245151477. The reversal of 211031245151400 is 4151542130112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1283562844 + ... + 1283727243.

It is an arithmetic number, because the mean of its divisors is an integer number (6864291872790).

Almost surely, 2211031245151400 is an apocalyptic number.

211031245151400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211031245151400 is an abundant number, since it is smaller than the sum of its proper divisors (447940774636440).

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

211031245151400 is a wasteful number, since it uses less digits than its factorization.

211031245151400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567290243 (or 2567290234 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 211031245151400 its reverse (4151542130112), we get a palindrome (215182787281512).

The spelling of 211031245151400 in words is "two hundred eleven trillion, thirty-one billion, two hundred forty-five million, one hundred fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 137 150 200 274 300 411 548 600 685 822 1096 1370 1644 2055 2740 3288 3425 4110 5480 6850 8220 10275 13700 16440 20550 27400 41100 82200 2567290087 5134580174 7701870261 10269160348 12836450435 15403740522 20538320696 25672900870 30807481044 38509351305 51345801740 61614962088 64182252175 77018702610 102691603480 128364504350 154037405220 192546756525 256729008700 308074810440 351718741919 385093513050 513458017400 703437483838 770187026100 1055156225757 1406874967676 1540374052200 1758593709595 2110312451514 2813749935352 3517187419190 4220624903028 5275781128785 7034374838380 8441249806056 8792968547975 10551562257570 14068749676760 17585937095950 21103124515140 26378905643925 35171874191900 42206249030280 52757811287850 70343748383800 105515622575700 211031245151400