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10212142344 = 2331931877027
BaseRepresentation
bin10011000001011000…
…01110110100001000
3222100200221120201020
421200230032310020
5131403302023334
64405201352440
7511031530515
oct114054166410
928320846636
1010212142344
114370540768
121b90038720
13c699364a1
146cc3c630c
153eb814e49
hex260b0ed08

10212142344 has 64 divisors (see below), whose sum is σ = 26886316800. Its totient is φ = 3223416384.

The previous prime is 10212142337. The next prime is 10212142349. The reversal of 10212142344 is 44324121201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10212142349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1449759 + ... + 1456785.

It is an arithmetic number, because the mean of its divisors is an integer number (420098700).

Almost surely, 210212142344 is an apocalyptic number.

It is an amenable number.

10212142344 is an abundant number, since it is smaller than the sum of its proper divisors (16674174456).

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

10212142344 is a wasteful number, since it uses less digits than its factorization.

10212142344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10242 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10212142344 its reverse (44324121201), we get a palindrome (54536263545).

The spelling of 10212142344 in words is "ten billion, two hundred twelve million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 3187 6374 7027 9561 12748 14054 19122 21081 25496 28108 38244 42162 56216 60553 76488 84324 121106 133513 168648 181659 242212 267026 363318 400539 484424 534052 726636 801078 1068104 1453272 1602156 3204312 22395049 44790098 67185147 89580196 134370294 179160392 268740588 425505931 537481176 851011862 1276517793 1702023724 2553035586 3404047448 5106071172 10212142344