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10142310220 = 2257419911783
BaseRepresentation
bin10010111001000011…
…10101111101001100
3222011211112202001021
421130201311331030
5131232412411340
64354224523524
7506223133360
oct113441657514
928154482037
1010142310220
114335084869
121b707805a4
13c583261c3
146c30092a0
153e561de4a
hex25c875f4c

10142310220 has 96 divisors (see below), whose sum is σ = 24974401536. Its totient is φ = 3387225600.

The previous prime is 10142310173. The next prime is 10142310239. The reversal of 10142310220 is 2201324101.

It is a junction number, because it is equal to n+sod(n) for n = 10142310194 and 10142310203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5687449 + ... + 5689231.

It is an arithmetic number, because the mean of its divisors is an integer number (260150016).

Almost surely, 210142310220 is an apocalyptic number.

10142310220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12487200768).

10142310220 is an abundant number, since it is smaller than the sum of its proper divisors (14832091316).

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

10142310220 is a wasteful number, since it uses less digits than its factorization.

10142310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10142310220 its reverse (2201324101), we get a palindrome (12343634321).

The spelling of 10142310220 in words is "ten billion, one hundred forty-two million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 991 1148 1435 1783 1982 2870 3566 3964 4955 5740 6937 7132 8915 9910 12481 13874 17830 19820 24962 27748 34685 35660 40631 49924 62405 69370 73103 81262 124810 138740 146206 162524 203155 249620 284417 292412 365515 406310 511721 568834 731030 812620 1023442 1137668 1422085 1462060 1766953 2046884 2558605 2844170 3533906 5117210 5688340 7067812 8834765 10234420 12368671 17669530 24737342 35339060 49474684 61843355 72445073 123686710 144890146 247373420 289780292 362225365 507115511 724450730 1014231022 1448901460 2028462044 2535577555 5071155110 10142310220