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210101400414 = 232471030124109
BaseRepresentation
bin1100001110101100000…
…1001111001101011110
3202002022022211222211200
43003223001033031132
511420241424303124
6240304054100330
721115336302663
oct3035301171536
9662268758750
10210101400414
1181115843904
123487664a6a6
1316a74020699
14a2518bba6a
1556ea1b1bc9
hex30eb04f35e

210101400414 has 48 divisors (see below), whose sum is σ = 464969643840. Its totient is φ = 68534222400.

The previous prime is 210101400409. The next prime is 210101400427. The reversal of 210101400414 is 414004101012.

210101400414 is a `hidden beast` number, since 210 + 1 + 0 + 1 + 40 + 0 + 414 = 666.

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

It is a congruent number.

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, 8702592 + ... + 8726700.

It is an arithmetic number, because the mean of its divisors is an integer number (9686867580).

Almost surely, 2210101400414 is an apocalyptic number.

210101400414 is an abundant number, since it is smaller than the sum of its proper divisors (254868243426).

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

210101400414 is a wasteful number, since it uses less digits than its factorization.

210101400414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34465 (or 34462 counting only the distinct ones).

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

Adding to 210101400414 its reverse (414004101012), we get a palindrome (624105501426).

The spelling of 210101400414 in words is "two hundred ten billion, one hundred one million, four hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 10301 20602 24109 30903 48218 61806 72327 92709 144654 185418 216981 433962 484147 968294 1133123 1452441 2266246 2904882 3399369 4357323 6798738 8714646 10198107 20396214 248346809 496693618 745040427 1490080854 2235121281 4470242562 11672300023 23344600046 35016900069 70033800138 105050700207 210101400414